Paper Citation Record · LEDGER

Three-term Recurrence Relation with Arbitrary Degree Steps for Orthogonal Polynomials

As of 12 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2606.13056.

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

pith.paper-citation-record.v1
2606.13056 v2

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T11:44:59.543194Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

36 of 36 outbound references displayed

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unresolved36
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External citation measurements

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Outbound references

Observation 2771fe72-c97d-4139-a42a-8bd376172506 · outbound

This paper cites Favard theore m.

Three-term Recurrence Relation with Arbitrary Degree Steps for Orthogonal Polynomials Favard theore m

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T11:44:54.281553Z

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Observation 36f9b701-285f-49e6-bdef-c751d7f80ef1 · outbound

This paper cites Castillo, M.

Three-term Recurrence Relation with Arbitrary Degree Steps for Orthogonal Polynomials Castillo, M

Reference 2

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Observation 24f602b6-84cc-4ec1-b293-900f94a1d838 · outbound

This paper cites Beardon, The theorems of Stieltjes and Favard, Comput ational Methods and Function Theory 11 (1) (2011) 247–262.

Three-term Recurrence Relation with Arbitrary Degree Steps for Orthogonal Polynomials Beardon, The theorems of Stieltjes and Favard, Comput ational Methods and Function Theory 11 (1) (2011) 247–262

Reference 3

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Observation cae1e4b8-2479-45b6-b031-8e79c62e916f · outbound

This paper cites Marcellan, M.

Three-term Recurrence Relation with Arbitrary Degree Steps for Orthogonal Polynomials Marcellan, M

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T11:44:54.735742Z

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Observation 70b85998-183a-4bb4-9fe8-34039bfe6838 · outbound

This paper cites Garza, L.

Three-term Recurrence Relation with Arbitrary Degree Steps for Orthogonal Polynomials Garza, L

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T11:44:54.939676Z

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Observation ad36519d-7bac-4f61-80f5-1125d2404d88 · outbound

This paper cites Cvetkovic, G.

Three-term Recurrence Relation with Arbitrary Degree Steps for Orthogonal Polynomials Cvetkovic, G

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T11:44:55.073684Z

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Observation 39ec28c1-3492-423b-a8d1-a92ee5f2436e · outbound

This paper cites an unresolved cited work.

Three-term Recurrence Relation with Arbitrary Degree Steps for Orthogonal Polynomials Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T11:44:55.200427Z

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Observation a464e4b2-1bfa-46d6-a652-8ddd28f67075 · outbound

This paper cites Gautschi, G.

Three-term Recurrence Relation with Arbitrary Degree Steps for Orthogonal Polynomials Gautschi, G

Reference 8

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Observation 856ddb9b-6838-448e-bbf1-e9d85cc69832 · outbound

This paper cites an unresolved cited work.

Three-term Recurrence Relation with Arbitrary Degree Steps for Orthogonal Polynomials Unresolved cited work

Reference 9

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Observation bef0be15-7982-4eb9-b2e8-010ed6c21e30 · outbound

This paper cites Filipuk, M.

Three-term Recurrence Relation with Arbitrary Degree Steps for Orthogonal Polynomials Filipuk, M

Reference 10

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Observation 4b46be81-3a91-487a-8b36-5c705d33ca8e · outbound

This paper cites Swiderski, W.

Three-term Recurrence Relation with Arbitrary Degree Steps for Orthogonal Polynomials Swiderski, W

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-02T11:44:56.043858Z

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Observation a58348ab-29e1-4727-99f4-74dd5cf4c748 · outbound

This paper cites an unresolved cited work.

Three-term Recurrence Relation with Arbitrary Degree Steps for Orthogonal Polynomials Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T11:44:56.187096Z

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Observation 3b8b2815-4a8b-43f1-846a-412f1893e097 · outbound

This paper cites Dzhamay, G.

Three-term Recurrence Relation with Arbitrary Degree Steps for Orthogonal Polynomials Dzhamay, G

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-02T11:44:56.298962Z

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Observation 9e59f952-9151-4d05-ab0a-c8eb17faea4b · outbound

This paper cites Chihara, A introduction to orthogonal polynomials, Gordon and Breach Science Publishers, New Y ork, London, Paris, 1978.

Three-term Recurrence Relation with Arbitrary Degree Steps for Orthogonal Polynomials Chihara, A introduction to orthogonal polynomials, Gordon and Breach Science Publishers, New Y ork, London, Paris, 1978

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T11:44:56.430891Z

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Observation 9a072923-5793-478a-972c-08453b06cc1f · outbound

This paper cites Simon, Orthogonal polynomials on the unit circle, Pa rt 1: Classical the- ory, Colloquium Publications, V olume 54, American Mathematical Society, Providence, RI, 2005.

Three-term Recurrence Relation with Arbitrary Degree Steps for Orthogonal Polynomials Simon, Orthogonal polynomials on the unit circle, Pa rt 1: Classical the- ory, Colloquium Publications, V olume 54, American Mathematical Society, Providence, RI, 2005

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-02T11:44:56.540778Z

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Observation 64cde629-1a88-44b0-a9a5-cbe7b77a6fe5 · outbound

This paper cites Simon, Orthogonal polynomials on the unit circle, Pa rt 2: Spectral the- ory, Colloquium Publications, V olume 54, American Mathematical Society, Providence, RI, 2005.

Three-term Recurrence Relation with Arbitrary Degree Steps for Orthogonal Polynomials Simon, Orthogonal polynomials on the unit circle, Pa rt 2: Spectral the- ory, Colloquium Publications, V olume 54, American Mathematical Society, Providence, RI, 2005

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-02T11:44:56.653295Z

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Observation c2016fd1-d432-43e3-8a0e-d4597a83da9e · outbound

This paper cites Barroso, P.

Three-term Recurrence Relation with Arbitrary Degree Steps for Orthogonal Polynomials Barroso, P

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-02T11:44:56.796784Z

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Observation 77d3a06f-80b0-42c8-a5b3-7ae32fa1f99c · outbound

This paper cites Branquinho, A.

Three-term Recurrence Relation with Arbitrary Degree Steps for Orthogonal Polynomials Branquinho, A

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-02T11:44:56.948318Z

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Observation 4c8d8f9d-11b0-4a45-b2b1-94c09141af2d · outbound

This paper cites Marcellan, Y.

Three-term Recurrence Relation with Arbitrary Degree Steps for Orthogonal Polynomials Marcellan, Y

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-02T11:44:57.034359Z

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Observation ab2a01c8-91be-46b4-9ad4-111756dfa2cc · outbound

This paper cites Aptekarev, Multiple orthogonal polynomials, Journ al of Computational and Applied Mathematics 99 (1) (1998) 423–447.

Three-term Recurrence Relation with Arbitrary Degree Steps for Orthogonal Polynomials Aptekarev, Multiple orthogonal polynomials, Journ al of Computational and Applied Mathematics 99 (1) (1998) 423–447

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-02T11:44:57.204920Z

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Observation aa0a04d5-3706-41f2-99a0-c6f27a7bc321 · outbound

This paper cites Barroso, C.

Three-term Recurrence Relation with Arbitrary Degree Steps for Orthogonal Polynomials Barroso, C

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-02T11:44:57.299248Z

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Observation b696fc51-3f44-4d4d-833a-9e0c101b2a43 · outbound

This paper cites Aptekarev, S.

Three-term Recurrence Relation with Arbitrary Degree Steps for Orthogonal Polynomials Aptekarev, S

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-02T11:44:57.424384Z

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Observation 24bc22dd-68fd-4037-a861-d23d9e7405d5 · outbound

This paper cites Douak, P.

Three-term Recurrence Relation with Arbitrary Degree Steps for Orthogonal Polynomials Douak, P

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-02T11:44:57.596410Z

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Observation dbdb9744-6926-4ef7-8efa-ab2bddd33867 · outbound

This paper cites Douak, P.

Three-term Recurrence Relation with Arbitrary Degree Steps for Orthogonal Polynomials Douak, P

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-02T11:44:57.780389Z

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Observation f0a9818c-8a94-4b13-bf6a-d835e97bcc05 · outbound

This paper cites Chaggara, A.

Three-term Recurrence Relation with Arbitrary Degree Steps for Orthogonal Polynomials Chaggara, A

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-02T11:44:57.877158Z

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Observation e6ebdd63-e3c4-432c-99bb-5625f4835b9e · outbound

This paper cites Gomez-Ullate, N.

Three-term Recurrence Relation with Arbitrary Degree Steps for Orthogonal Polynomials Gomez-Ullate, N

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-02T11:44:58.010074Z

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Observation a277d0cd-4e8c-4789-a115-76975930694c · outbound

This paper cites an unresolved cited work.

Three-term Recurrence Relation with Arbitrary Degree Steps for Orthogonal Polynomials Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-02T11:44:58.137775Z

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Observation ead60516-735f-4842-b4ca-63b948b0a414 · outbound

This paper cites Horvath, Recurrence relation and multi-indexed pol ynomials of the sec- ond kind, Acta Mathematica Hungarica 157 (2) (2019) 537–550.

Three-term Recurrence Relation with Arbitrary Degree Steps for Orthogonal Polynomials Horvath, Recurrence relation and multi-indexed pol ynomials of the sec- ond kind, Acta Mathematica Hungarica 157 (2) (2019) 537–550

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-02T11:44:58.281816Z

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Observation f39a8bf6-911b-4dc9-baea-b45e8b52bff7 · outbound

This paper cites Combinatorics of generalized orthogonal polynomials of type $R_{II}$.

Three-term Recurrence Relation with Arbitrary Degree Steps for Orthogonal Polynomials Combinatorics of generalized orthogonal polynomials of type $R_{II}$

Reference 29

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Observation 972bf864-c4a4-4af6-afee-0a2bf1847585 · outbound

This paper cites Ismail, A.

Three-term Recurrence Relation with Arbitrary Degree Steps for Orthogonal Polynomials Ismail, A

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-02T11:44:58.621124Z

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Observation 00211cad-83fb-4b3f-8031-1afda57c2f23 · outbound

This paper cites Shukla, A.

Three-term Recurrence Relation with Arbitrary Degree Steps for Orthogonal Polynomials Shukla, A

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-02T11:44:58.772347Z

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Observation dee02fbb-e5ec-474b-9362-d36821887703 · outbound

This paper cites Shukla, A.

Three-term Recurrence Relation with Arbitrary Degree Steps for Orthogonal Polynomials Shukla, A

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-02T11:44:58.936745Z

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Observation 2d4b4ceb-55c3-492e-ba83-21d4d012f7d1 · outbound

This paper cites Abrammowitz, I.

Three-term Recurrence Relation with Arbitrary Degree Steps for Orthogonal Polynomials Abrammowitz, I

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-02T11:44:59.119099Z

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Observation 8b0996cd-54ee-469c-9e59-dcc912820af5 · outbound

This paper cites Schoutens, Stochastic processes and orthogonal pol ynomials, V ol.

Three-term Recurrence Relation with Arbitrary Degree Steps for Orthogonal Polynomials Schoutens, Stochastic processes and orthogonal pol ynomials, V ol

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-02T11:44:59.226105Z

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Observation 060343d3-0dfe-4311-a723-39ec2b18d0be · outbound

This paper cites Recurrence equations involving different orthogonal polynomial sequences and applications.

Three-term Recurrence Relation with Arbitrary Degree Steps for Orthogonal Polynomials Recurrence equations involving different orthogonal polynomial sequences and applications

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-02T11:44:59.407454Z

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Observation 1e51469d-e4fc-459a-ac9b-703bc5ffd54c · outbound

This paper cites Y ang, Z.

Three-term Recurrence Relation with Arbitrary Degree Steps for Orthogonal Polynomials Y ang, Z

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-02T11:44:59.543194Z

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Pith citing papers

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