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Paper Citation Record · LEDGER

High-precision numerical evaluation of Lauricella functions

As of 9 August 2026, this Paper Citation Record lists 94 of 94 outbound references and 3 inbound Pith citation observations for arXiv:2502.03276.

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pith.paper-citation-record.v1
2502.03276 v1

Coverage vector

measured 94 of 94 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T05:22:36.518851Z

measured 97 of 97 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T11:27:51.848897Z

measured 0 of 1 external citation measurements

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Source: arxiv_reference, observed 2026-06-29T06:33:12.022732Z

Reference resolution

94 of 94 outbound references displayed

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  • verified fuzzy25
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Outbound references

Observation 43c93d5c-23ba-4b1e-a54d-19357ff8a804 · outbound

This paper cites Feynman Integrals.

High-precision numerical evaluation of Lauricella functions Feynman Integrals

Reference 1

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Observation f2aa7d79-d1da-4027-be0f-c62f6ae93adf · outbound

This paper cites Mellin-Barnes Integrals: A Primer on Particle Physics Applications.

High-precision numerical evaluation of Lauricella functions Mellin-Barnes Integrals: A Primer on Particle Physics Applications

Reference 2

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Observation a3a870d4-8865-436b-ac3e-c0aaa113e498 · outbound

This paper cites Smirnov, Feynman Integral Calculus.

High-precision numerical evaluation of Lauricella functions Smirnov, Feynman Integral Calculus

Reference 3

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Observation da17d551-4b67-40cc-bfcf-0dbfacba4990 · outbound

This paper cites Hypergeometric representation of the two-loop equal mass sunrise diagram.

High-precision numerical evaluation of Lauricella functions Hypergeometric representation of the two-loop equal mass sunrise diagram

Reference 4

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Observation 97b9a207-5df0-4b8d-a74b-03b2b99e0e49 · outbound

This paper cites Space-time dimensionality D as complex variable: calculating loop integrals using dimensional recurrence relation and analytical properties with respect to D.

High-precision numerical evaluation of Lauricella functions Space-time dimensionality D as complex variable: calculating loop integrals using dimensional recurrence relation and analytical properties with respect to D

Reference 5

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Observation 6af5ee11-563c-4271-b6dc-1bba87167789 · outbound

This paper cites DRA method: Powerful tool for the calculation of the loop integrals.

High-precision numerical evaluation of Lauricella functions DRA method: Powerful tool for the calculation of the loop integrals

Reference 6

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Observation 7884b222-a9aa-4de2-a580-5f10029facc8 · outbound

This paper cites Functional reduction of one-loop Feynman integrals with arbitrary masses.

High-precision numerical evaluation of Lauricella functions Functional reduction of one-loop Feynman integrals with arbitrary masses

Reference 7

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Observation f5855f2c-86cb-4ff4-9a25-68064ebe0ee1 · outbound

This paper cites On series and integral representations of some NRQCD master integrals.

High-precision numerical evaluation of Lauricella functions On series and integral representations of some NRQCD master integrals

Reference 8

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Observation aa8324e1-039c-439e-9086-144adcaff484 · outbound

This paper cites Non-planar elliptic vertex.

High-precision numerical evaluation of Lauricella functions Non-planar elliptic vertex

Reference 9

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Observation 5819e307-3e4a-4102-98f9-035fe39d45ae · outbound

This paper cites Hypergeometric Structures in Feynman Integrals.

High-precision numerical evaluation of Lauricella functions Hypergeometric Structures in Feynman Integrals

Reference 10

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Observation caab2691-eeb6-41c5-b6c9-0ca740c90ca2 · outbound

This paper cites Four Lectures on Euler Integrals.

High-precision numerical evaluation of Lauricella functions Four Lectures on Euler Integrals

Reference 11

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Observation 59e31856-1aa6-46a5-a4a0-3314d671f455 · outbound

This paper cites Feynman integrals, toric geometry and mirror symmetry.

High-precision numerical evaluation of Lauricella functions Feynman integrals, toric geometry and mirror symmetry

Reference 12

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Observation 35389b8c-5dc4-47c6-94d7-6c5ca4dcd66e · outbound

This paper cites General theory of hypergeometric functions,.

High-precision numerical evaluation of Lauricella functions General theory of hypergeometric functions,

Reference 13

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Observation 4e9068b0-7128-4a53-839c-15fc307d13a3 · outbound

This paper cites Hypergeometric functions and toric varieties,.

High-precision numerical evaluation of Lauricella functions Hypergeometric functions and toric varieties,

Reference 14

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Observation 42ac8390-d4c6-4d02-a54f-3f8867fc6392 · outbound

This paper cites Generalized Euler integrals and A-hypergeometric functions ,.

High-precision numerical evaluation of Lauricella functions Generalized Euler integrals and A-hypergeometric functions ,

Reference 15

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Observation 36c9a7ef-ded6-4e76-ae8b-02dd8d2140e9 · outbound

This paper cites General hypergeometric systems of equations and series of hypergeometric type,.

High-precision numerical evaluation of Lauricella functions General hypergeometric systems of equations and series of hypergeometric type,

Reference 16

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Observation f4086b00-6c86-44fc-8e9d-96dc843d60ab · outbound

This paper cites an unresolved cited work.

High-precision numerical evaluation of Lauricella functions Unresolved cited work

Reference 17

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Observation c8b3202f-7965-40c1-ab08-e8e947b167f8 · outbound

This paper cites Monodromy of A-hypergeometric functions.

High-precision numerical evaluation of Lauricella functions Monodromy of A-hypergeometric functions

Reference 18

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Observation f320789a-71c4-42f3-8fd7-368aa206c5b0 · outbound

This paper cites Mellin-Barnes representations of Feynman diagrams, linear systems of differential equations, and polynomial solutions.

High-precision numerical evaluation of Lauricella functions Mellin-Barnes representations of Feynman diagrams, linear systems of differential equations, and polynomial solutions

Reference 19

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Observation b4109d40-d3cc-46a0-b263-7571db71fec9 · outbound

This paper cites Feynman integrals as A-hypergeometric functions.

High-precision numerical evaluation of Lauricella functions Feynman integrals as A-hypergeometric functions

Reference 20

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Observation 37abaa6d-a62d-4c20-9191-f2eb883de986 · outbound

This paper cites Hypergeometric Series Representations of Feynman Integrals by GKZ Hypergeometric Systems.

High-precision numerical evaluation of Lauricella functions Hypergeometric Series Representations of Feynman Integrals by GKZ Hypergeometric Systems

Reference 21

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Observation 74a85c88-464c-4719-b62d-c020a9950e1e · outbound

This paper cites FeynGKZ: a Mathematica package for solving Feynman integrals using GKZ hypergeometric systems.

High-precision numerical evaluation of Lauricella functions FeynGKZ: a Mathematica package for solving Feynman integrals using GKZ hypergeometric systems

Reference 22

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Observation e8d5f8e9-d2d7-4d19-9d60-84f20395f614 · outbound

This paper cites Analytic result for the one-loop scalar pentagon integral with massless propagators.

High-precision numerical evaluation of Lauricella functions Analytic result for the one-loop scalar pentagon integral with massless propagators

Reference 23

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Observation 3d3a30a7-6a04-4d95-94d8-b4fbc392c559 · outbound

This paper cites Two-loop sunset diagrams with three massive lines.

High-precision numerical evaluation of Lauricella functions Two-loop sunset diagrams with three massive lines

Reference 24

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Observation a7ebf849-e21d-4186-9068-05113a6fd88d · outbound

This paper cites HypExp, a Mathematica package for expanding hypergeometric functions around integer-valued parameters.

High-precision numerical evaluation of Lauricella functions HypExp, a Mathematica package for expanding hypergeometric functions around integer-valued parameters

Reference 25

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Observation caf2fd96-83be-4eb2-bb2b-47988200b051 · outbound

This paper cites HypExp 2, Expanding Hypergeometric Functions about Half-Integer Parameters.

High-precision numerical evaluation of Lauricella functions HypExp 2, Expanding Hypergeometric Functions about Half-Integer Parameters

Reference 26

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Observation b05f4df2-2994-4ab1-9b32-dfd85780fbc9 · outbound

This paper cites - XSummer - Transcendental Functions and Symbolic Summation in Form.

High-precision numerical evaluation of Lauricella functions - XSummer - Transcendental Functions and Symbolic Summation in Form

Reference 27

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Observation 13ca37a4-6e78-4259-98e9-e8735905aff1 · outbound

This paper cites Symbolic Expansion of Transcendental Functions.

High-precision numerical evaluation of Lauricella functions Symbolic Expansion of Transcendental Functions

Reference 28

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Observation 78d57450-1b21-4fd0-a828-5f6e47f0cdfa · outbound

This paper cites Analytic and Algorithmic Aspects of Generalized Harmonic Sums and Polylogarithms.

High-precision numerical evaluation of Lauricella functions Analytic and Algorithmic Aspects of Generalized Harmonic Sums and Polylogarithms

Reference 29

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Observation 4442c539-7e2b-4c22-83db-78da904d8414 · outbound

This paper cites NumExp: Numerical epsilon expansion of hypergeometric functions.

High-precision numerical evaluation of Lauricella functions NumExp: Numerical epsilon expansion of hypergeometric functions

Reference 30

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Observation 0de54005-3a14-4e22-9ade-e10d7384f640 · outbound

This paper cites $\texttt{MultiHypExp}$: A Mathematica Package For Expanding Multivariate Hypergeometric Functions In Terms Of Multiple Polylogarithms.

High-precision numerical evaluation of Lauricella functions $\texttt{MultiHypExp}$: A Mathematica Package For Expanding Multivariate Hypergeometric Functions In Terms Of Multiple Polylogarithms

Reference 31

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Observation 2d2e80d6-a151-4745-a456-da66ffff292e · outbound

This paper cites Expansion of hypergeometric functions in terms of polylogarithms with nontrivial variable change.

High-precision numerical evaluation of Lauricella functions Expansion of hypergeometric functions in terms of polylogarithms with nontrivial variable change

Reference 32

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Observation 856523c4-d8fd-466a-aef9-7c1fdda4eeb6 · outbound

This paper cites Multiple hypergeometric functions and applications.

High-precision numerical evaluation of Lauricella functions Multiple hypergeometric functions and applications

Reference 33

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Observation 8bf07175-6c3b-45cf-935e-93564e587a47 · outbound

This paper cites Fonctions hyperg´ eom´ etriques et hypersph´ eriques. Polynˆ omes d’Hermite.

High-precision numerical evaluation of Lauricella functions Fonctions hyperg´ eom´ etriques et hypersph´ eriques. Polynˆ omes d’Hermite

Reference 34

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Observation da6645e8-bef3-4501-96f6-a25730645048 · outbound

This paper cites ¨Uber die hypergeometrische Reihe 1 + α.β 1.γ x + α(α+1)β(β+1) 1.2.γ.(γ+1) x2 + α(α+1)(α+2)β(β+1)(β+2) 1.2.3.γ(γ+1)(γ+2) x3 + · · ·.,.

High-precision numerical evaluation of Lauricella functions ¨Uber die hypergeometrische Reihe 1 + α.β 1.γ x + α(α+1)β(β+1) 1.2.γ.(γ+1) x2 + α(α+1)(α+2)β(β+1)(β+2) 1.2.3.γ(γ+1)(γ+2) x3 + · · ·.,

Reference 35

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Observation 4bd646bb-16b0-48d2-8776-cad125035dc8 · outbound

This paper cites Gesammelte mathematische Werke und wissenschaftlicher Nachlass. Heraus- gegeben unter Mitwirkung von R. Dedekind von H. Weber.

High-precision numerical evaluation of Lauricella functions Gesammelte mathematische Werke und wissenschaftlicher Nachlass. Heraus- gegeben unter Mitwirkung von R. Dedekind von H. Weber

Reference 36

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Observation 84deffb0-765c-4786-8c93-6f63fc2179c6 · outbound

This paper cites Hypergeometric functions of two variables,.

High-precision numerical evaluation of Lauricella functions Hypergeometric functions of two variables,

Reference 37

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Observation 56deb849-bedc-4afc-9816-b82f97f444f4 · outbound

This paper cites Integration of the partial differential equations for the hypergeometric functions F1 and FD of two and more variables,.

High-precision numerical evaluation of Lauricella functions Integration of the partial differential equations for the hypergeometric functions F1 and FD of two and more variables,

Reference 38

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source=pdf_text observed=2026-08-09T05:22:35.997299Z digest=sha256:bf886e7df7827bc2b01ffcdff4f42cc40b44f2be77d09aa076aa95300e264d50

Observation 3c89b951-c670-466f-ba36-8623f3177c26 · outbound

This paper cites Olsson.wl: A Mathematica Package for the Computation of Linear Transformations of Multivariable Hypergeometric Func- tions,.

High-precision numerical evaluation of Lauricella functions Olsson.wl: A Mathematica Package for the Computation of Linear Transformations of Multivariable Hypergeometric Func- tions,

Reference 39

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source=pdf_text observed=2026-08-09T05:22:36.000948Z digest=sha256:04e08e444a6bda5f29bcbc1822fcfabc08ddc275047e5eae9693afc139ff8fce

Observation c1d8c27d-4e2d-4624-8920-f50f604d92f9 · outbound

This paper cites Analytic continuations and numerical evaluation of the Appell $F_1$, $F_3$, Lauricella $F_D^{(3)}$ and Lauricella-Saran $F_S^{(3)}$ and their Application to Feynman Integrals.

High-precision numerical evaluation of Lauricella functions Analytic continuations and numerical evaluation of the Appell $F_1$, $F_3$, Lauricella $F_D^{(3)}$ and Lauricella-Saran $F_S^{(3)}$ and their Application to Feynman Integrals

Reference 40

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T05:22:36.004301Z digest=sha256:b9f97e9937cf0c84684e097159cf67c259ec741ba3d84d88bfdce5f6854138da

Observation 1742a853-529c-491b-b5bd-6a4be0bbe356 · outbound

This paper cites Analytic continuation of appell’s hypergeometric series f 2 to the vicinity of the singular point x= 1, y= 1,.

High-precision numerical evaluation of Lauricella functions Analytic continuation of appell’s hypergeometric series f 2 to the vicinity of the singular point x= 1, y= 1,

Reference 41

Resolution
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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T05:22:36.007690Z digest=sha256:2e84f110b538f3249bb78b938b22cf957cb0a75d8f11d9091d35f41d4899fd15

Observation 6d13facb-fb14-4c21-bef6-dc3c1e1a7ce1 · outbound

This paper cites Analytic continuation formulas and Jacobi-type relations for Lauricella function,.

High-precision numerical evaluation of Lauricella functions Analytic continuation formulas and Jacobi-type relations for Lauricella function,

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T05:22:37.727567Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-09T05:22:36.011556Z digest=sha256:dd8d1df03103021180b12cab691cc9c5e1f637b87ef29e8038c683d13b6cb3cc

Observation bf785461-2e43-4f27-8080-69a6756342a4 · outbound

This paper cites On the analytic continuation of the Lauricella function F (N ) D ,.

High-precision numerical evaluation of Lauricella functions On the analytic continuation of the Lauricella function F (N ) D ,

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T05:22:37.717807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-09T05:22:36.014648Z digest=sha256:0b93e34d0e67515d4462aed72f8e9ce16a3482a093954796a5c1a797ffa8257c

Observation 341fd719-5615-4ee5-a305-f6547a7db1cb · outbound

This paper cites Analytic continuation of the appell function f 1 and integration of the associated system of equations in the logarithmic case,.

High-precision numerical evaluation of Lauricella functions Analytic continuation of the appell function f 1 and integration of the associated system of equations in the logarithmic case,

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T05:22:37.707502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-09T05:22:36.017708Z digest=sha256:0a15b8cbbbd5495ba6e29aa260f7f56a61d2f2bc9040ce500ed6e86927456817

Observation 81c52edc-1c28-421a-8ee1-cbf7fbecaf98 · outbound

This paper cites Analytic continuation of the Lauricella function F (N ) D with arbitrary number of variables,.

High-precision numerical evaluation of Lauricella functions Analytic continuation of the Lauricella function F (N ) D with arbitrary number of variables,

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T05:22:37.697732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-09T05:22:36.020933Z digest=sha256:f09677512f272d48552df63e12e7896a7f6ecb0faf56b811054428288d789b31

Observation bd06cbff-e96b-42b3-a5cf-acb84d5898ca · outbound

This paper cites Analytic continuation of Lauricella’s functions F (N ) A , F(N ) B and F (N ) D ,.

High-precision numerical evaluation of Lauricella functions Analytic continuation of Lauricella’s functions F (N ) A , F(N ) B and F (N ) D ,

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T05:22:37.687921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-09T05:22:36.024120Z digest=sha256:0567bb8f80201719e1d057a66c1196deff4393d3fb92452597362717476baaf9

Observation 90ace096-1813-4d6d-b882-c73129e67cbb · outbound

This paper cites The Lauricella hypergeometric function F (N ) D , the Riemann-Hilbert prob- lem, and some applications,.

High-precision numerical evaluation of Lauricella functions The Lauricella hypergeometric function F (N ) D , the Riemann-Hilbert prob- lem, and some applications,

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T05:22:37.678710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-09T05:22:36.027380Z digest=sha256:e7a30ced321caba9307fed8828c4b7b9362e905eb4cdc3ba98f207f113258823

Observation c26a3575-b730-4a2b-8734-31adc7c2faa0 · outbound

This paper cites HYPERDIRE: HYPERgeometric functions DIfferential REduction: MATHEMATICA based packages for differential reduction of generalized hypergeometric functions pFq, F1,F2,F3,F4.

High-precision numerical evaluation of Lauricella functions HYPERDIRE: HYPERgeometric functions DIfferential REduction: MATHEMATICA based packages for differential reduction of generalized hypergeometric functions pFq, F1,F2,F3,F4

Reference 48

Resolution
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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T05:22:36.030188Z digest=sha256:78db5f9342cc9d6fc91c63b32e8199b1474816d11f258aecf4976a486f2c34ea

Observation b56d9fc3-8264-4eff-9eb7-3767580b83a6 · outbound

This paper cites HYPERgeometric functions DIfferential REduction: MATHEMATICA based packages for differential reduction of generalized hypergeometric functions: Horn hypergeometric functions of two variables.

High-precision numerical evaluation of Lauricella functions HYPERgeometric functions DIfferential REduction: MATHEMATICA based packages for differential reduction of generalized hypergeometric functions: Horn hypergeometric functions of two variables

Reference 49

Resolution
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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T05:22:36.034117Z digest=sha256:8ce38b4a80c9d66bfcaa4b050984fba7e83a9fb65a50a96835151380d28cb3a0

Observation 54ffc5a4-efbb-40cb-8810-5f006bc86ece · outbound

This paper cites HYPERDIRE: HYPERgeometric functions DIfferential REduction: MATHEMATICA based packages for differential reduction of generalized hypergeometric functions: $F_D$ and $F_S$ Horn-type hypergeometric functions of three variables.

High-precision numerical evaluation of Lauricella functions HYPERDIRE: HYPERgeometric functions DIfferential REduction: MATHEMATICA based packages for differential reduction of generalized hypergeometric functions: $F_D$ and $F_S$ Horn-type hypergeometric functions of three variables

Reference 50

Resolution
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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T05:22:36.038111Z digest=sha256:a675bcdaa87afa31417bfa25a49e31051b59fcc522fabc422b12cb8fe1dfa4a0

Observation 3c97e6cd-affa-4f09-915e-a7db19764324 · outbound

This paper cites HYPERgeometric functions DIfferential REduction: Mathematica-based packages for the differential reduction of generalizedhypergeometric functions: Fc hypergeometric function of three variables.

High-precision numerical evaluation of Lauricella functions HYPERgeometric functions DIfferential REduction: Mathematica-based packages for the differential reduction of generalizedhypergeometric functions: Fc hypergeometric function of three variables

Reference 51

Resolution
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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T05:22:36.079162Z digest=sha256:8d88fef2fdc4d08974f15d72b2d683b8684413da3e6741541ff229447b7400b1

Observation baeb1ee5-4c59-4c30-8e6f-4aacb95252b7 · outbound

This paper cites Numerical evaluation of appell’s f1 hypergeometric function,.

High-precision numerical evaluation of Lauricella functions Numerical evaluation of appell’s f1 hypergeometric function,

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T05:22:37.669605Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-09T05:22:36.122593Z digest=sha256:a518e19673be62792e8a2d796845b053e5d1c053bb2041774db6863561442946

Observation 43dedd22-13ab-4ef2-acec-1ee02b02fa38 · outbound

This paper cites f1: a code to compute appell’s f1 hypergeometric func- tion,.

High-precision numerical evaluation of Lauricella functions f1: a code to compute appell’s f1 hypergeometric func- tion,

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T05:22:37.660690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-09T05:22:36.145087Z digest=sha256:46d794076953ea9711f3d0ee6693bb1a4c022a30a635740710ef827369aed51b

Observation 5d77228b-462d-4beb-baa0-2edce3ac8bc6 · outbound

This paper cites On the evaluation of the Appell $F_2$ double hypergeometric function.

High-precision numerical evaluation of Lauricella functions On the evaluation of the Appell $F_2$ double hypergeometric function

Reference 54

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T05:22:36.162541Z digest=sha256:caa8665bdd152505b1dcc98b1cc60a8af75458951528ad89944ca540878476e8

Observation 11356044-d7f8-4235-8bfd-2fbe053e2f11 · outbound

This paper cites Sulle funzioni ipergeometriche a piu variabili,.

High-precision numerical evaluation of Lauricella functions Sulle funzioni ipergeometriche a piu variabili,

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T05:22:37.651617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-09T05:22:36.182638Z digest=sha256:40feb074ec4c20c8e6db0c7f4e694ea6b25e5da9cfe7f3b9ac8b6a43b578be00

Observation 7491cf38-919b-4aa2-b853-c346655690b3 · outbound

This paper cites Bateman, Higher transcendental functions [volumes i-iii] , vol.

High-precision numerical evaluation of Lauricella functions Bateman, Higher transcendental functions [volumes i-iii] , vol

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T05:22:37.642743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-09T05:22:36.204372Z digest=sha256:962f151675ab1274b035d38d89daf68dc5a2bd866853a360445b45f382233791

Observation a6a639f4-5e27-4fc8-9a2a-2c29489db28a · outbound

This paper cites Iwasaki, H.

High-precision numerical evaluation of Lauricella functions Iwasaki, H

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T05:22:37.588481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-09T05:22:36.244046Z digest=sha256:d17bc6eb83a447de3769cfa8b55a4f25a67b44f57947ce7a318364a642100119

Observation 40fac335-c9ee-40a2-a39f-8e6e031a23c8 · outbound

This paper cites Aomoto and M.

High-precision numerical evaluation of Lauricella functions Aomoto and M

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T05:22:37.506134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-09T05:22:36.259937Z digest=sha256:cbb7a4c330b5c5fbdfee3e756e661881d13dceebc15e28ca15ae2ac714da8732

Observation 321aedb3-10df-4e87-a24b-abfa8ece1d9b · outbound

This paper cites Multiple hypergeometric series -- Appell series and beyond.

High-precision numerical evaluation of Lauricella functions Multiple hypergeometric series -- Appell series and beyond

Reference 59

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T05:22:36.263511Z digest=sha256:7eee46318979b9cc12795b86f710db006465f5971e367545f14d901282105576

Observation 81581f5f-1c8d-443c-8fd3-a188fc2e6d3d · outbound

This paper cites Polylogarithms and physical applications,.

High-precision numerical evaluation of Lauricella functions Polylogarithms and physical applications,

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T05:22:37.443669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-09T05:22:36.267357Z digest=sha256:52044169cbe8c67b89209bdb81df285074222127e13f06e74a3083d62613dedb

Observation d2f963e6-48f9-44e6-bda1-c908b553ca1e · outbound

This paper cites Multiple polylogarithms, cyclotomy and modular complexes,.

High-precision numerical evaluation of Lauricella functions Multiple polylogarithms, cyclotomy and modular complexes,

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T05:22:37.433255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-09T05:22:36.271233Z digest=sha256:3175f404bfa56d1c572d52c58c041449f293be7620877491ce422c13fd8bc215

Observation 57e4b2d9-b544-45ab-bd21-fd6068d543f0 · outbound

This paper cites Multiple polylogarithms and mixed Tate motives.

High-precision numerical evaluation of Lauricella functions Multiple polylogarithms and mixed Tate motives

Reference 62

Resolution
unresolved
no resolver link, observed 2026-08-09T05:22:36.274482Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T05:22:36.274482Z digest=sha256:2a6d4de377d717176c8e879fbd36b9cb468412128ffd3fd382ad80ce20f6384f

Observation f41beefa-ef60-4a1a-b456-d006188af136 · outbound

This paper cites On hypergeometric functions of two variables.,.

High-precision numerical evaluation of Lauricella functions On hypergeometric functions of two variables.,

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T05:22:37.423006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-09T05:22:36.277956Z digest=sha256:224030dfe5c0df167500b3cd937a1f5c7dd98ba1f953d29c45b8cffc3b530608

Observation 649361f5-d58d-4131-b1d4-a6a68d371d0a · outbound

This paper cites On the convergence of hypergeometric series of two and three variables.,.

High-precision numerical evaluation of Lauricella functions On the convergence of hypergeometric series of two and three variables.,

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T05:22:37.412178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-09T05:22:36.282011Z digest=sha256:96d4ab878d12da599f2fb04beec2c85ead6508730297ddbb0454d5bba86dbc8f

Observation f041f3e5-b49e-47c7-90c8-bb9817cbbf0e · outbound

This paper cites GKZ Hypergeometric Structures.

High-precision numerical evaluation of Lauricella functions GKZ Hypergeometric Structures

Reference 65

Resolution
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no resolver link, observed 2026-08-09T05:22:36.285706Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T05:22:36.285706Z digest=sha256:949f49bacf5c6b651ac43d5340d5a77d881b90c2cc812e25759d08ce3f2f8659

Observation ed371f68-058d-4809-9a4f-2b70ad8448d4 · outbound

This paper cites ¨Uber den Zusammenhang zwischen den linearen Differential- und Differenzen- gleichungen.,.

High-precision numerical evaluation of Lauricella functions ¨Uber den Zusammenhang zwischen den linearen Differential- und Differenzen- gleichungen.,

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T05:22:37.401882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-09T05:22:36.289166Z digest=sha256:7c15dcc7e1793a142ff756f8eb86e78b50e9c6a0f4695a012e6e5eade71d8c8c

Observation 9913ddb7-82a1-4f5e-9cb7-98999fb45fc8 · outbound

This paper cites Coddington and N.

High-precision numerical evaluation of Lauricella functions Coddington and N

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T05:22:37.391102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-09T05:22:36.292902Z digest=sha256:1cb3de5dd2e2257b02735c1c4bde7aca04e1df16e0f5b5c6729f28e338d44e0e

Observation 922426f6-eb7b-4a19-9f4a-5f628c33c115 · outbound

This paper cites Three lectures on hypergeometric functions,.

High-precision numerical evaluation of Lauricella functions Three lectures on hypergeometric functions,

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T05:22:37.380507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-09T05:22:36.296463Z digest=sha256:a61877ebfe3d3b44a387e5e97c81a290046ff4dce58b7ee80e23dec7493317a6

Observation ca67d23f-89c3-4658-b619-cb579cf7eb7a · outbound

This paper cites Saito, B.

High-precision numerical evaluation of Lauricella functions Saito, B

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T05:22:37.371156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-09T05:22:36.299692Z digest=sha256:78d7501429b5538282059df7cadc08675cdd866eb54a3bc16bd9e1f70dda9053

Observation 0b8546a0-8724-4b60-bd99-15533759ed14 · outbound

This paper cites D-Modules and Holonomic Functions.

High-precision numerical evaluation of Lauricella functions D-Modules and Holonomic Functions

Reference 70

Resolution
verified exact
local_arxiv, observed 2026-08-09T05:22:36.723951Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-09T05:22:36.303107Z digest=sha256:0a7da4609b570ad4a97156108eb5cc8237a4899f550a3ac431b5275cb1699499

Observation e8d7bfa5-de32-41bc-86dd-4f0763ed889d · outbound

This paper cites Advanced applications of the holonomic systems approach,.

High-precision numerical evaluation of Lauricella functions Advanced applications of the holonomic systems approach,

Reference 71

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T05:22:37.359737Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-09T05:22:36.307153Z digest=sha256:c5829c636e759184fbf10602fbca6e2e48add31c9a5b0de2cce688a05710d5ae

Observation fe527164-78d7-4e41-b92f-64a8e2dcc24a · outbound

This paper cites On the computation of finite bottom-quark mass effects in Higgs boson production.

High-precision numerical evaluation of Lauricella functions On the computation of finite bottom-quark mass effects in Higgs boson production

Reference 72

Resolution
unresolved
no resolver link, observed 2026-08-09T05:22:36.310784Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T05:22:36.310784Z digest=sha256:ea881bfb50b0b2075860b095001c662c037baf411619bc966a4ab1cb3e9d9b1c

Observation 8a9ea620-ba3f-4dc4-80cd-ffbcf6e9b4a0 · outbound

This paper cites Two-loop $gg \to Hg$ amplitude mediated by a nearly massless quark.

High-precision numerical evaluation of Lauricella functions Two-loop $gg \to Hg$ amplitude mediated by a nearly massless quark

Reference 73

Resolution
unresolved
no resolver link, observed 2026-08-09T05:22:36.314477Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T05:22:36.314477Z digest=sha256:6c936c6e401e2ad637b17dde6fe3317d9852b1e25c51d46cfb467710dc980cfc

Observation 143acc5b-005a-40ab-8efb-d5cd4e423f0f · outbound

This paper cites Three-loop massive tadpoles and polylogarithms through weight six.

High-precision numerical evaluation of Lauricella functions Three-loop massive tadpoles and polylogarithms through weight six

Reference 74

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source=pdf_text observed=2026-08-09T05:22:36.318063Z digest=sha256:1e2c73c9777e4b0a6197fb38e04dc82bf8bc1a9da3379bb34d44f99ce1ddedbb

Observation a384154e-e075-469c-abbf-68f7fbab35cc · outbound

This paper cites Solving differential equations for Feynman integrals by expansions near singular points.

High-precision numerical evaluation of Lauricella functions Solving differential equations for Feynman integrals by expansions near singular points

Reference 75

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source=pdf_text observed=2026-08-09T05:22:36.321480Z digest=sha256:92180165cbabc5e55c139738c82df9619f2d730c8b7981a669adb783e01fb5b4

Observation f5570ef9-614f-4279-be0e-205183bbf842 · outbound

This paper cites Evaluating `elliptic' master integrals at special kinematic values: using differential equations and their solutions via expansions near singular points.

High-precision numerical evaluation of Lauricella functions Evaluating `elliptic' master integrals at special kinematic values: using differential equations and their solutions via expansions near singular points

Reference 76

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source=pdf_text observed=2026-08-09T05:22:36.324765Z digest=sha256:290134bfb716597cef0d4a758a586e408637575adfdbf243491e23e8e77b4ed9

Observation ef2a1e16-4803-4cb0-b90a-b18e0fb95f3f · outbound

This paper cites Two-loop diagrams in non-relativistic QCD with elliptics.

High-precision numerical evaluation of Lauricella functions Two-loop diagrams in non-relativistic QCD with elliptics

Reference 77

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source=pdf_text observed=2026-08-09T05:22:36.328180Z digest=sha256:a9438ec560336e6ea3a81d4becf205b59fd5f308fff77ea6f417d5f7092e1c23

Observation a4165968-c2e5-48fe-9dc1-bd9cf84d6368 · outbound

This paper cites Generalised power series expansions for the elliptic planar families of Higgs + jet production at two loops.

High-precision numerical evaluation of Lauricella functions Generalised power series expansions for the elliptic planar families of Higgs + jet production at two loops

Reference 78

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source=pdf_text observed=2026-08-09T05:22:36.339271Z digest=sha256:33045867b70af2dd68c89dade8fbb3f1c96b6020ce7f208f24f4508138481ce1

Observation 048823ac-28e0-4b6f-8d7b-95b96a473839 · outbound

This paper cites Evaluating two-loop non-planar master integrals for Higgs + jet production with full heavy-quark mass dependence.

High-precision numerical evaluation of Lauricella functions Evaluating two-loop non-planar master integrals for Higgs + jet production with full heavy-quark mass dependence

Reference 79

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source=pdf_text observed=2026-08-09T05:22:36.365283Z digest=sha256:82ab718960f62de707c6a2d7794335b34b611b0dfa5a9beafeb3e64e5a2ea619

Observation c9eecb70-ed9e-4f48-8e98-dd8a9245de55 · outbound

This paper cites The complete set of two-loop master integrals for Higgs + jet production in QCD.

High-precision numerical evaluation of Lauricella functions The complete set of two-loop master integrals for Higgs + jet production in QCD

Reference 80

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source=pdf_text observed=2026-08-09T05:22:36.407950Z digest=sha256:c61ebbfafafa711b7f576645b8b59d529ddb3c16230ab858bbe951064b47d031

Observation b14327f5-ed88-4577-aea6-52d09a44654e · outbound

This paper cites DiffExp, a Mathematica package for computing Feynman integrals in terms of one-dimensional series expansions.

High-precision numerical evaluation of Lauricella functions DiffExp, a Mathematica package for computing Feynman integrals in terms of one-dimensional series expansions

Reference 81

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source=pdf_text observed=2026-08-09T05:22:36.438017Z digest=sha256:ac64cd0a403728202befc5cd13bddfd4c2a2384f028c2af5565b07865b00ef11

Observation c35fd116-26a9-44e3-8736-f48ba4d13d89 · outbound

This paper cites Feynman Integrals in Dimensional Regularization and Extensions of Calabi-Yau Motives.

High-precision numerical evaluation of Lauricella functions Feynman Integrals in Dimensional Regularization and Extensions of Calabi-Yau Motives

Reference 82

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source=pdf_text observed=2026-08-09T05:22:36.466859Z digest=sha256:1aa85aedced62bc3bfe80fd410f4bd100acd90be0d15cc7f7988dec48b31c70f

Observation eccf0c85-5a50-48ba-a405-9b0f603275d5 · outbound

This paper cites Evaluation of Feynman integrals with arbitrary complex masses via series expansions.

High-precision numerical evaluation of Lauricella functions Evaluation of Feynman integrals with arbitrary complex masses via series expansions

Reference 83

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source=pdf_text observed=2026-08-09T05:22:36.480894Z digest=sha256:1181ffabe1fb156576932759acf08c441be132584aa7df150f7cea16bc117e7b

Observation a2c253d5-e28b-42a4-95c2-e2b0cdcd9a69 · outbound

This paper cites Macaulay Matrix for Feynman Integrals: Linear Relations and Intersection Numbers.

High-precision numerical evaluation of Lauricella functions Macaulay Matrix for Feynman Integrals: Linear Relations and Intersection Numbers

Reference 84

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source=pdf_text observed=2026-08-09T05:22:36.484417Z digest=sha256:febc911be8c3dcda2fc127722bf872bfa877acba85b050d1424b411a7bfbbcfc

Observation ca52a7bc-f096-40fc-8dfc-adbff80398f4 · outbound

This paper cites $D$-Module Techniques for Solving Differential Equations in the Context of Feynman Integrals.

High-precision numerical evaluation of Lauricella functions $D$-Module Techniques for Solving Differential Equations in the Context of Feynman Integrals

Reference 85

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source=pdf_text observed=2026-08-09T05:22:36.488160Z digest=sha256:d5b501c7fd6d74167d15e8be4b3df00291baee7dd1e38e7ce26c0141c2b29a6c

Observation 3c33949b-9e12-4ff0-9bf0-3f940dd9b895 · outbound

This paper cites Numerical evaluation of multiple polylogarithms.

High-precision numerical evaluation of Lauricella functions Numerical evaluation of multiple polylogarithms

Reference 86

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source=pdf_text observed=2026-08-09T05:22:36.491479Z digest=sha256:d30ed50b77dfaad58dd54b4eb89cf5b3523e98848d7058299f47e0bc97499db7

Observation e7e25c0c-9953-44fa-beb9-c3f7de7490f5 · outbound

This paper cites HandyG -- rapid numerical evaluation of generalised polylogarithms in Fortran.

High-precision numerical evaluation of Lauricella functions HandyG -- rapid numerical evaluation of generalised polylogarithms in Fortran

Reference 87

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source=pdf_text observed=2026-08-09T05:22:36.494866Z digest=sha256:0a3869f7b4daf6d492bcb26cb0caa16245f050ec75c634069179e27cf9b88125

Observation 79c77a0d-942d-4ebb-b3c4-8036dd64a832 · outbound

This paper cites The monodromy representation of Lauricella’s hypergeometric function FC,.

High-precision numerical evaluation of Lauricella functions The monodromy representation of Lauricella’s hypergeometric function FC,

Reference 88

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source=pdf_text observed=2026-08-09T05:22:36.498176Z digest=sha256:026834123e55594c6fb76802aa1710422ce890c20ae32630a25ff7146878afa8

Observation 5c723688-88c1-498f-baac-9fd63a597121 · outbound

This paper cites Monodromy representations of hypergeometric systems with respect to fundamental series solutions,.

High-precision numerical evaluation of Lauricella functions Monodromy representations of hypergeometric systems with respect to fundamental series solutions,

Reference 89

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source=pdf_text observed=2026-08-09T05:22:36.501118Z digest=sha256:766eee611cc624becddfd5731aeffb34e811c83eefe1a1afb1a9e28b04ca4102

Observation c140af55-90d8-489c-99c4-77e3a304b165 · outbound

This paper cites Lauricella’s FC with finite irreducible monodromy group,.

High-precision numerical evaluation of Lauricella functions Lauricella’s FC with finite irreducible monodromy group,

Reference 90

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source=pdf_text observed=2026-08-09T05:22:36.504533Z digest=sha256:a4a24c3481817f193c86e1dc70c099f656ea68523d6e028e2d53f14918fadc69

Observation c27a8341-95cd-4486-8c09-814c7aa6f943 · outbound

This paper cites Normalizing Flows for Probabilistic Modeling and Inference.

High-precision numerical evaluation of Lauricella functions Normalizing Flows for Probabilistic Modeling and Inference

Reference 91

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source=pdf_text observed=2026-08-09T05:22:36.507935Z digest=sha256:a1c86ec374f4c41d5e663618f711f4dff666c934dbf8006389155ed8cfcd7505

Observation 806dae36-46d3-4286-8c91-fdb0f2a8bc71 · outbound

This paper cites i-flow: High-dimensional Integration and Sampling with Normalizing Flows.

High-precision numerical evaluation of Lauricella functions i-flow: High-dimensional Integration and Sampling with Normalizing Flows

Reference 92

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source=pdf_text observed=2026-08-09T05:22:36.511699Z digest=sha256:5d543ac7e70387fa489fa24cc43758c675d5acf7467e73808964f64089fe353f

Observation 0bdaa2e3-0212-48c0-91e8-4a23ccf6fb9c · outbound

This paper cites Adaptive monte carlo augmented with normalizing flows,.

High-precision numerical evaluation of Lauricella functions Adaptive monte carlo augmented with normalizing flows,

Reference 93

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source=pdf_text observed=2026-08-09T05:22:36.515231Z digest=sha256:c54cf4a0c0b453d8854987bd6616de52fd9b4690293375732865251adc7f118e

Observation fde97387-3ead-4d8f-b3a1-af46c02853ba · outbound

This paper cites PrecisionLauricella: package for numerical computation of Lauricella functions depending on a parameter,.

High-precision numerical evaluation of Lauricella functions PrecisionLauricella: package for numerical computation of Lauricella functions depending on a parameter,

Reference 94

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source=pdf_text observed=2026-08-09T05:22:36.518851Z digest=sha256:205cd87017380eb9b932ecc2ce7d0fb0b5ed7e398347a32716bd183023772b79

Pith citing papers

Observation 83d0b229-b19b-4e76-860f-6db343c01227 · inbound

$\texttt{PrecisionLauricella}$: package for numerical computation of Lauricella functions depending on a parameter cites this paper.

$\texttt{PrecisionLauricella}$: package for numerical computation of Lauricella functions depending on a parameter High-precision numerical evaluation of Lauricella functions

Reference 40

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source=pdf_text observed=2026-08-08T11:27:51.848897Z digest=sha256:4f887f26a1f3c72e79e45a3f5b8e27ca3b3920d3ea496107b297ef8b600d9af4

Observation 10c86e1e-9a1d-4952-83c4-545d067f5d9b · inbound

HyperPrecision: A Mathematica package for High-Precision Numerical Evaluation of Multivariate Hypergeometric Functions cites this paper.

HyperPrecision: A Mathematica package for High-Precision Numerical Evaluation of Multivariate Hypergeometric Functions High-precision numerical evaluation of Lauricella functions

Reference 63

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arxiv_id, observed 2026-06-29T06:33:12.024119Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-29T06:30:54.899745Z digest=sha256:d5cc9ad30ac0c457351031120a64d5a030bca674f2b4a94eb9ed0867da51256a

Observation 7a885223-3467-4489-a783-cf4406e46173 · inbound

Numerical analytical continuation of multivariate hypergeometric functions cites this paper.

Numerical analytical continuation of multivariate hypergeometric functions High-precision numerical evaluation of Lauricella functions

Reference 57

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arxiv_id, observed 2026-06-28T20:12:38.190311Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-28T19:55:01.049240Z digest=sha256:8bd32f0de33f98a725bef7a9f8f83b7b630680792500f97ed87f4d2f77d4e272