Paper Citation Record · LEDGER

Differential equations for a class of semiclassical orthogonal polynomials on the unit circle

As of 8 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 1 inbound Pith citation observation for arXiv:2506.03432.

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pith.paper-citation-record.v1
2506.03432 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:13:15.768071Z

measured 38 of 38 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:13:15.601599Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-07T11:13:15.831580Z

Reference resolution

37 of 37 outbound references displayed

verified exact1
verified fuzzy27
unresolved7
parse uncertain0
malformed identifier1
metadata mismatch1

External citation measurements

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Outbound references

Observation f6fdde86-c5c8-4ab6-af24-7605e23dbcca · outbound

This paper cites Differential equations for a class of semiclassical orthogonal polynomials on the unit circle.

Differential equations for a class of semiclassical orthogonal polynomials on the unit circle Differential equations for a class of semiclassical orthogonal polynomials on the unit circle

Reference 1

Resolution: metadata mismatch; local_arxiv, observed 2026-08-07T11:13:15.836296Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7097817b-e740-40d4-bf66-70c0c8fa4c80 · outbound

This paper cites an unresolved cited work.

Differential equations for a class of semiclassical orthogonal polynomials on the unit circle Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:13:16.328940Z

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Observation 65536656-16f3-44c1-8647-c7621d3e4193 · outbound

This paper cites reversed version.

Differential equations for a class of semiclassical orthogonal polynomials on the unit circle reversed version

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:16.298692Z

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Observation 7b6cb54d-6f2c-4b44-973f-be5c8ebff5b8 · outbound

This paper cites Ifd= 3 we obtain ⟨A(z)Φ′ n, zk⟩=−iΦ n(1)A(1)[w(2π)−w(0)], k= 2,.

Differential equations for a class of semiclassical orthogonal polynomials on the unit circle Ifd= 3 we obtain ⟨A(z)Φ′ n, zk⟩=−iΦ n(1)A(1)[w(2π)−w(0)], k= 2,

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:16.313625Z

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Observation 33127ff5-d4c6-4401-b2bc-21465bd2fafb · outbound

This paper cites As a consequence, we obtained difference equations for the Verblunsky coefficients.

Differential equations for a class of semiclassical orthogonal polynomials on the unit circle As a consequence, we obtained difference equations for the Verblunsky coefficients

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:16.255432Z

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Observation 9044778c-156b-455a-ba8c-ad4542d77e4a · outbound

This paper cites Branquinho and M.N.

Differential equations for a class of semiclassical orthogonal polynomials on the unit circle Branquinho and M.N

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:16.184054Z

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Observation c8aefa3e-e435-434b-8ca8-40cc15a89439 · outbound

This paper cites Specifically, we consider and generalize some of the weight functions that were characterized in [4] to illustrate applications of Theorems 3.1, 3.6, and Corollary 3.7.

Differential equations for a class of semiclassical orthogonal polynomials on the unit circle Specifically, we consider and generalize some of the weight functions that were characterized in [4] to illustrate applications of Theorems 3.1, 3.6, and Corollary 3.7

Reference 7

Resolution: malformed identifier; raw_fallback, observed 2026-08-07T11:13:16.283752Z

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Observation f5d58bf3-d5e3-44c1-a0a3-67676a34cc8c · outbound

This paper cites Before we proceed to the second order differential equations, the following technical result is useful to express the coefficients of the equation in a more compact form.

Differential equations for a class of semiclassical orthogonal polynomials on the unit circle Before we proceed to the second order differential equations, the following technical result is useful to express the coefficients of the equation in a more compact form

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:16.269499Z

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Observation cbe756c0-d855-4daa-8fce-ceef754412d1 · outbound

This paper cites Chouteau and S.

Differential equations for a class of semiclassical orthogonal polynomials on the unit circle Chouteau and S

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:16.141115Z

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Observation 82c696a6-f8d3-4ef9-bbae-e343584c6c8a · outbound

This paper cites Alfaro and F.

Differential equations for a class of semiclassical orthogonal polynomials on the unit circle Alfaro and F

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:16.240711Z

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Observation 0c608531-0434-40d5-8b42-483cab3b9aa0 · outbound

This paper cites an unresolved cited work.

Differential equations for a class of semiclassical orthogonal polynomials on the unit circle Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:13:16.227128Z

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Observation 8e6aec2f-71ba-43b1-985a-919ab477d37a · outbound

This paper cites Bonan, D.S.

Differential equations for a class of semiclassical orthogonal polynomials on the unit circle Bonan, D.S

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:16.212258Z

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Observation e204079b-1df6-40af-a510-a2666a4b05df · outbound

This paper cites Bracciali, K.S.

Differential equations for a class of semiclassical orthogonal polynomials on the unit circle Bracciali, K.S

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:16.198345Z

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Observation 8708585d-d949-46ef-8494-54d04ff43755 · outbound

This paper cites Generalized semiclassical orthogonal polynomials on the unit circle: A Riemann-Hilbert perspective.

Differential equations for a class of semiclassical orthogonal polynomials on the unit circle Generalized semiclassical orthogonal polynomials on the unit circle: A Riemann-Hilbert perspective

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-07T11:13:15.813351Z

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Observation 018f8a4d-2a6c-440c-bf9d-96c97582ea4f · outbound

This paper cites Ismail.Classical and Quantum Orthogonal Polynomials in One Variable, volume 98 of Encyclopedia of Mathematics and its Applications.

Differential equations for a class of semiclassical orthogonal polynomials on the unit circle Ismail.Classical and Quantum Orthogonal Polynomials in One Variable, volume 98 of Encyclopedia of Mathematics and its Applications

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:16.052240Z

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Observation 40813760-77b0-4356-b833-3efb2df1b4c2 · outbound

This paper cites an unresolved cited work.

Differential equations for a class of semiclassical orthogonal polynomials on the unit circle Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:13:16.358465Z

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Observation ae41c6be-9a63-47b3-91ea-8d335de16315 · outbound

This paper cites Branquinho and M.N.

Differential equations for a class of semiclassical orthogonal polynomials on the unit circle Branquinho and M.N

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:16.169810Z

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Observation 05b928a5-795b-4339-8a95-afabe47de749 · outbound

This paper cites Cachafeiro and C.

Differential equations for a class of semiclassical orthogonal polynomials on the unit circle Cachafeiro and C

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:16.155867Z

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Observation aebd9720-b79e-4b4f-be80-42b1781b3430 · outbound

This paper cites Costa, H.M.

Differential equations for a class of semiclassical orthogonal polynomials on the unit circle Costa, H.M

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:16.126453Z

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Observation 61f13cb6-3bc7-4926-b581-204658baaef1 · outbound

This paper cites de Jesus and J.

Differential equations for a class of semiclassical orthogonal polynomials on the unit circle de Jesus and J

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:16.111161Z

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Observation 94b98793-4496-4bee-8137-c5036d30d871 · outbound

This paper cites Filipuk and W.

Differential equations for a class of semiclassical orthogonal polynomials on the unit circle Filipuk and W

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:16.096732Z

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Observation 65d0a95d-e5d0-43dc-9363-27d4a0a6058b · outbound

This paper cites Fokas, A.R.

Differential equations for a class of semiclassical orthogonal polynomials on the unit circle Fokas, A.R

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:16.081795Z

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Observation 87ea6e4f-f252-4546-ac88-b73c804bc4c3 · outbound

This paper cites Iserles, P.

Differential equations for a class of semiclassical orthogonal polynomials on the unit circle Iserles, P

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:16.067044Z

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Observation 6c7f4298-3f95-4555-867a-15b418f17eab · outbound

This paper cites Further results involving orthogonal polynomials and Painlev´ e equations (continuous and discrete) can be found for instance in [12, 18, 19, 28] and references therein.

Differential equations for a class of semiclassical orthogonal polynomials on the unit circle Further results involving orthogonal polynomials and Painlev´ e equations (continuous and discrete) can be found for instance in [12, 18, 19, 28] and references therein

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:16.344428Z

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Observation 6b25e27c-0680-48c3-a6be-b957934ce448 · outbound

This paper cites Ismail and N.S.

Differential equations for a class of semiclassical orthogonal polynomials on the unit circle Ismail and N.S

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:16.037601Z

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Observation aa8fc58c-e104-49d7-8e5c-c9ed162672db · outbound

This paper cites Jones, O.

Differential equations for a class of semiclassical orthogonal polynomials on the unit circle Jones, O

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:16.021535Z

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Observation 3340fdc8-490e-4733-b584-a83e38c86d02 · outbound

This paper cites an unresolved cited work.

Differential equations for a class of semiclassical orthogonal polynomials on the unit circle Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:13:16.005909Z

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Observation ab86dfdf-48e0-420d-8933-07bbe6f9dac4 · outbound

This paper cites an unresolved cited work.

Differential equations for a class of semiclassical orthogonal polynomials on the unit circle Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:13:15.990805Z

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Observation cefb4b83-f9fd-42b8-9a93-5775a59a1917 · outbound

This paper cites an unresolved cited work.

Differential equations for a class of semiclassical orthogonal polynomials on the unit circle Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:13:15.975148Z

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Observation c97e8c45-55cd-4b84-88db-02eed8279a72 · outbound

This paper cites Marcell´ an and R.

Differential equations for a class of semiclassical orthogonal polynomials on the unit circle Marcell´ an and R

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:15.960072Z

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Observation 7ca5e3d9-3b6e-49ac-80ee-d0ad9c8a2c01 · outbound

This paper cites Marcell´ an and A.

Differential equations for a class of semiclassical orthogonal polynomials on the unit circle Marcell´ an and A

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:15.945679Z

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Observation 448e221c-c099-4a02-bc5c-15ba98c10d9f · outbound

This paper cites an unresolved cited work.

Differential equations for a class of semiclassical orthogonal polynomials on the unit circle Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:13:15.930730Z

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Observation 1b945bd4-c3c0-4b74-a09d-843b5d5d24fa · outbound

This paper cites Periwal and D.

Differential equations for a class of semiclassical orthogonal polynomials on the unit circle Periwal and D

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:15.915677Z

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Observation bc34a784-b1b6-411b-8869-72e495243ba0 · outbound

This paper cites Simon.Orthogonal Polynomials on the Unit Circle.

Differential equations for a class of semiclassical orthogonal polynomials on the unit circle Simon.Orthogonal Polynomials on the Unit Circle

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:15.900041Z

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Observation 7c1613ef-143d-499e-bc86-7e9af85867a9 · outbound

This paper cites Szeg˝ o polynomials from hypergeometric functions.Proc.

Differential equations for a class of semiclassical orthogonal polynomials on the unit circle Szeg˝ o polynomials from hypergeometric functions.Proc

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:15.883425Z

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Observation dbaff8c9-b5e8-4ce6-b03e-6d952e9a06f2 · outbound

This paper cites Su´ arez.

Differential equations for a class of semiclassical orthogonal polynomials on the unit circle Su´ arez

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:15.867796Z

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Observation b8144b70-a1c8-4d13-a701-a42ee8e3d3bb · outbound

This paper cites Van Assche.Orthogonal Polynomials and Painlev´ e Equations, volume 27 ofAustralian Mathe- matical Society Lecture Series.

Differential equations for a class of semiclassical orthogonal polynomials on the unit circle Van Assche.Orthogonal Polynomials and Painlev´ e Equations, volume 27 ofAustralian Mathe- matical Society Lecture Series

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:15.851953Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

Observation f6fdde86-c5c8-4ab6-af24-7605e23dbcca · inbound