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Paper Citation Record · LEDGER

Fundamental solutions of the generalized Helmholtz equation with several singular coefficients and confluent hypergeometric functions of many variables

As of 16 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:1908.07158.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
1908.07158 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:33:43.706487Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

23 of 23 outbound references displayed

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  • verified fuzzy17
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External citation measurements

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Outbound references

Observation d46a99f5-117a-4cdc-8357-28ff8a16d713 · outbound

This paper cites Erdelyi, W.

Fundamental solutions of the generalized Helmholtz equation with several singular coefficients and confluent hypergeometric functions of many variables Erdelyi, W

Reference 1

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raw_fallback, observed 2026-08-14T12:33:44.299060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 9bdb6cc7-866f-4fc3-8d55-531924410ff9 · outbound

This paper cites Srivastava, P.W.

Fundamental solutions of the generalized Helmholtz equation with several singular coefficients and confluent hypergeometric functions of many variables Srivastava, P.W

Reference 2

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raw_fallback, observed 2026-08-14T12:33:44.285509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 38881570-0f46-4eaa-b2d2-18466ac64192 · outbound

This paper cites Jain, The confluent hypergeometric functions of thre e variables.

Fundamental solutions of the generalized Helmholtz equation with several singular coefficients and confluent hypergeometric functions of many variables Jain, The confluent hypergeometric functions of thre e variables

Reference 3

Resolution
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raw_fallback, observed 2026-08-14T12:33:44.265182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation b427bfa1-fa6d-4199-ba90-174e9dfe32f5 · outbound

This paper cites Exton, On certain confluent hypergeometric of three var iables.

Fundamental solutions of the generalized Helmholtz equation with several singular coefficients and confluent hypergeometric functions of many variables Exton, On certain confluent hypergeometric of three var iables

Reference 4

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raw_fallback, observed 2026-08-14T12:33:44.241955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation ee11bb61-a555-4238-a108-e1fde54fbb81 · outbound

This paper cites Urinov, On fundamental solutions for the some type of the elliptic equations with singular coefficients.

Fundamental solutions of the generalized Helmholtz equation with several singular coefficients and confluent hypergeometric functions of many variables Urinov, On fundamental solutions for the some type of the elliptic equations with singular coefficients

Reference 5

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raw_fallback, observed 2026-08-14T12:33:44.228207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 7fc4b124-7223-426b-921b-eaaf7548511b · outbound

This paper cites Hasanov, Fundamental solutions bi-axially symmetric Helmholtz equation.

Fundamental solutions of the generalized Helmholtz equation with several singular coefficients and confluent hypergeometric functions of many variables Hasanov, Fundamental solutions bi-axially symmetric Helmholtz equation

Reference 6

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raw_fallback, observed 2026-08-14T12:33:44.212815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 1b790c70-fb5c-4fac-a692-df34f9642d70 · outbound

This paper cites Hasanov, E.T.

Fundamental solutions of the generalized Helmholtz equation with several singular coefficients and confluent hypergeometric functions of many variables Hasanov, E.T

Reference 7

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verified exact
doi, observed 2026-08-14T12:33:44.016808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:33:43.316257Z digest=sha256:24c5c5dc5b04014a158b3b81f98e609c79e4d79595f5bfec20b04551afdc435c

Observation c9ee8063-7669-49e6-978b-efea5df18e9b · outbound

This paper cites Urinov, E.T.

Fundamental solutions of the generalized Helmholtz equation with several singular coefficients and confluent hypergeometric functions of many variables Urinov, E.T

Reference 8

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verified exact
doi, observed 2026-08-14T12:33:43.950657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 41f9ce9a-f31a-4fec-9bd6-574c32d8efdb · outbound

This paper cites Mavlyaviev, I.B.

Fundamental solutions of the generalized Helmholtz equation with several singular coefficients and confluent hypergeometric functions of many variables Mavlyaviev, I.B

Reference 9

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raw_fallback, observed 2026-08-14T12:33:44.194093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation af6730fd-5d68-4e12-bd40-9c5d4f622351 · outbound

This paper cites Ergashev, A.

Fundamental solutions of the generalized Helmholtz equation with several singular coefficients and confluent hypergeometric functions of many variables Ergashev, A

Reference 10

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raw_fallback, observed 2026-08-14T12:33:44.179434Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 5461c143-b4b4-4b41-bc7e-341b095105ce · outbound

This paper cites Ergashev, On fundamental solutions for multidimen sional Helmholtz equation with three singular coefficients, Computers and Mathematics with Appli cations 77,2019, p.

Fundamental solutions of the generalized Helmholtz equation with several singular coefficients and confluent hypergeometric functions of many variables Ergashev, On fundamental solutions for multidimen sional Helmholtz equation with three singular coefficients, Computers and Mathematics with Appli cations 77,2019, p

Reference 11

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 0ea4690b-f009-4d43-8a30-66c0e30a65c7 · outbound

This paper cites Urinov, T.G.

Fundamental solutions of the generalized Helmholtz equation with several singular coefficients and confluent hypergeometric functions of many variables Urinov, T.G

Reference 12

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verified fuzzy
raw_fallback, observed 2026-08-14T12:33:44.150712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 3c496c6a-da19-4bf3-aa88-f577aa8c8cda · outbound

This paper cites Lauricella, Sille funzioni ipergeometriche a piu var iabili.

Fundamental solutions of the generalized Helmholtz equation with several singular coefficients and confluent hypergeometric functions of many variables Lauricella, Sille funzioni ipergeometriche a piu var iabili

Reference 13

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raw_fallback, observed 2026-08-14T12:33:44.137408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 81d32033-c331-456e-80be-dd8d93928e7e · outbound

This paper cites Erdelyi, Integraldarstellungen fur Produkte Whitta kerscher Funktionen.

Fundamental solutions of the generalized Helmholtz equation with several singular coefficients and confluent hypergeometric functions of many variables Erdelyi, Integraldarstellungen fur Produkte Whitta kerscher Funktionen

Reference 14

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raw_fallback, observed 2026-08-14T12:33:44.123562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:33:43.407697Z digest=sha256:55d08148a8a6c24d0c38cce312b670906dee3862a90dcd7b4d965bfa5ed88272

Observation fc45f3a4-4402-4de9-8301-7e78b48dc032 · outbound

This paper cites Appell, J.Kampe de Feriet, Fonctions Hypergeometriques et Hyperspheriques; Polynom es d’Hermite, Gauthier - Villars.

Fundamental solutions of the generalized Helmholtz equation with several singular coefficients and confluent hypergeometric functions of many variables Appell, J.Kampe de Feriet, Fonctions Hypergeometriques et Hyperspheriques; Polynom es d’Hermite, Gauthier - Villars

Reference 15

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation beb3430d-5873-4626-9d99-3834cc1923c1 · outbound

This paper cites Burchnall, T.W.

Fundamental solutions of the generalized Helmholtz equation with several singular coefficients and confluent hypergeometric functions of many variables Burchnall, T.W

Reference 16

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verified fuzzy
raw_fallback, observed 2026-08-14T12:33:44.098211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:33:43.416586Z digest=sha256:c1a6bc377e2245a55444c70c5a3e095a04a64ba8a04e84a1768ef4049fe00685

Observation 56c61957-62bc-4b8b-b6b3-faa89592a3ad · outbound

This paper cites Burchnall, T.W.

Fundamental solutions of the generalized Helmholtz equation with several singular coefficients and confluent hypergeometric functions of many variables Burchnall, T.W

Reference 17

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verified fuzzy
raw_fallback, observed 2026-08-14T12:33:44.084438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:33:43.421654Z digest=sha256:d91b75f6b7090c84234a83adb2054bd3a9feb221d54ae564d54bb6048cabb451

Observation 1338d317-d365-407f-aab5-7e9a23c04b2d · outbound

This paper cites Hasanov, H.M.

Fundamental solutions of the generalized Helmholtz equation with several singular coefficients and confluent hypergeometric functions of many variables Hasanov, H.M

Reference 18

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verified exact
doi, observed 2026-08-14T12:33:43.769826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:33:43.428093Z digest=sha256:9990caf113292564827000ede31a03d9e67d2238aea7fdb19cf74dc90401b195

Observation dbf60ed6-711f-4d7d-a3af-6e2a31d63950 · outbound

This paper cites Hasanov, H.M.

Fundamental solutions of the generalized Helmholtz equation with several singular coefficients and confluent hypergeometric functions of many variables Hasanov, H.M

Reference 19

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verified fuzzy
raw_fallback, observed 2026-08-14T12:33:44.070576Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:33:43.444271Z digest=sha256:fdec4cd66475629e1bbc36175ad59258c318c3c702c36d9137cc8aea80774d4f

Observation b8441e9f-9832-44fd-8b4d-4e600e36578a · outbound

This paper cites Poole, Introduction to the Theory of Linear Differen tial Equations, Clarendon Press, Oxford, 1936, 202 p.

Fundamental solutions of the generalized Helmholtz equation with several singular coefficients and confluent hypergeometric functions of many variables Poole, Introduction to the Theory of Linear Differen tial Equations, Clarendon Press, Oxford, 1936, 202 p

Reference 20

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Observation 098da761-023e-491e-b3b9-abe5f15f332a · outbound

This paper cites Ergashev, The Dirichlet problem for elliptic equat ion with several singular coefficients, e-Journal of Analysis and Applied Mathematics, 2018 (1), p.

Fundamental solutions of the generalized Helmholtz equation with several singular coefficients and confluent hypergeometric functions of many variables Ergashev, The Dirichlet problem for elliptic equat ion with several singular coefficients, e-Journal of Analysis and Applied Mathematics, 2018 (1), p

Reference 21

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doi, observed 2026-08-14T12:33:43.742246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 7c9d543c-0840-466b-800c-85dcb1ce89f3 · outbound

This paper cites Srivastava, H.L.

Fundamental solutions of the generalized Helmholtz equation with several singular coefficients and confluent hypergeometric functions of many variables Srivastava, H.L

Reference 22

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raw_fallback, observed 2026-08-14T12:33:44.033955Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 581c778e-2ba6-4437-b297-3deea679df90 · outbound

This paper cites an unresolved cited work.

Fundamental solutions of the generalized Helmholtz equation with several singular coefficients and confluent hypergeometric functions of many variables Unresolved cited work

Reference 1128

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verified exact
doi, observed 2026-08-14T12:33:43.756634Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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