Paper Citation Record · LEDGER

Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis

As of 8 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2506.06827.

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

pith.paper-citation-record.v1
2506.06827 v1

Coverage vector

measured 40 of 40 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-07T05:59:05.349492Z

measured 40 of 40 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

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

Source: cited_works

Reference resolution

40 of 40 outbound references displayed

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External citation measurements

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Outbound references

Observation 781c1f67-5f07-4d34-9770-aded309e1d59 · outbound

This paper cites Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIA. Subgroup Basis.

Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIA. Subgroup Basis

Reference 1

Resolution: metadata mismatch; local_arxiv, observed 2026-08-07T05:59:07.400477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7f997f30-eb5f-41bf-beec-6c82b030aa1e · outbound

This paper cites an unresolved cited work.

Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:59:21.160598Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 778acf98-25a1-4f7c-9bf5-b7e9b30002ae · outbound

This paper cites Kalnins \ and\ author W.

Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis Kalnins \ and\ author W

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:20.829072Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e11f461a-397c-4bc8-9081-acd02bc67ec2 · outbound

This paper cites Grosche ,\ title title Path integration and separation of variables in spaces of constant curvature in two and three dimensions , \ @noop journal journal Fortschr.

Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis Grosche ,\ title title Path integration and separation of variables in spaces of constant curvature in two and three dimensions , \ @noop journal journal Fortschr

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:20.594319Z

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Observation 858f0df6-282d-413f-b5e6-abfefc863380 · outbound

This paper cites Grosche ,\ @noop title Path Integrals, Hyperbolic Space, and Selberg Trace Formulas \ ( publisher World Scientific ,\ address Singapore ,\ year 1996 ) NoStop.

Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis Grosche ,\ @noop title Path Integrals, Hyperbolic Space, and Selberg Trace Formulas \ ( publisher World Scientific ,\ address Singapore ,\ year 1996 ) NoStop

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:20.355676Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e0c76a04-77bc-4f5c-a5e0-0f0f3db5c92f · outbound

This paper cites Pogosyan \ and\ author A.

Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis Pogosyan \ and\ author A

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:20.175635Z

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Observation da3aa50b-b1eb-41b6-8307-83e301730ea1 · outbound

This paper cites Bateman \ and\ author A.

Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis Bateman \ and\ author A

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:19.992796Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation cfbed8e9-57c6-4b68-8439-c31ff069124a · outbound

This paper cites Bateman \ and\ author A.

Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis Bateman \ and\ author A

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:19.759834Z

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Observation 49a09592-9c59-434c-a052-703cd508f50e · outbound

This paper cites Reviewing the Helmholtz Equation on Euclidean Plane and Interbasis Expansions.

Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis Reviewing the Helmholtz Equation on Euclidean Plane and Interbasis Expansions

Reference 9

Resolution: metadata mismatch; local_arxiv, observed 2026-08-07T05:59:06.008149Z

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Observation c5199c64-75c6-4a74-bac2-09dc13641e7f · outbound

This paper cites Prudnikov , author Y.

Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis Prudnikov , author Y

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:19.470664Z

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Observation 40db8932-ddbc-4165-b1c0-402cb27467e4 · outbound

This paper cites Wilson ,\ title title Some hypergeometric orthogonal polynomials , \ @noop journal journal SIAM J.

Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis Wilson ,\ title title Some hypergeometric orthogonal polynomials , \ @noop journal journal SIAM J

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:19.129081Z

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Observation 6bb08632-5949-41ab-9a61-6e54d9f648a5 · outbound

This paper cites Koekoek , author P.

Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis Koekoek , author P

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:18.822127Z

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Observation d2edd962-6075-43db-8776-226d97f2660f · outbound

This paper cites an unresolved cited work.

Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:59:18.518320Z

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Observation db271451-48f0-44fe-a2b6-58bdd14ac8f9 · outbound

This paper cites @citealpnum KAL-MIL1.

Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis @citealpnum KAL-MIL1

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:18.328429Z

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Observation 885457f2-118d-4253-b5f1-8c040b098f41 · outbound

This paper cites Madelung ,\ title Die mathematischen hilfsmittel des physikers , \ \ ( publisher Springer Berlin Heidelberg ,\ year 1957 )\ Chap.\ chapter Zahlen, Funktionen und Operatoren NoStop.

Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis Madelung ,\ title Die mathematischen hilfsmittel des physikers , \ \ ( publisher Springer Berlin Heidelberg ,\ year 1957 )\ Chap.\ chapter Zahlen, Funktionen und Operatoren NoStop

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:18.079261Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 69756427-9b62-48b5-b80b-180e06c20129 · outbound

This paper cites Pogosyan \ and\ author A.

Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis Pogosyan \ and\ author A

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:17.828871Z

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Observation a869070c-4160-4607-9996-44ccd2e9a178 · outbound

This paper cites Magnus , author F.

Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis Magnus , author F

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:17.612014Z

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Observation 440a40e4-bfce-41b7-9d8f-dff90b997e51 · outbound

This paper cites and Yakhno, A.

Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis and Yakhno, A

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:17.281922Z

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Observation b396f2f1-4614-4da1-af7b-65e78ae245c8 · outbound

This paper cites and Yakhno, A.

Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis and Yakhno, A

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:17.036146Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 158acce7-f4bd-4a23-82bb-1ce2a6b14e1d · outbound

This paper cites Separation of Variables and Contractions on Two-Dimensional Hyperboloid.

Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis Separation of Variables and Contractions on Two-Dimensional Hyperboloid

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:16.827993Z

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Observation 06a61fc5-6b9d-4ce5-9073-5d5a6da81fce · outbound

This paper cites Bateman and A.

Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis Bateman and A

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:16.552797Z

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Observation 66130134-5d8f-43d6-b565-0785ed3788ae · outbound

This paper cites Bateman and A.

Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis Bateman and A

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:16.275617Z

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Observation f4b7139d-57df-4b7f-b233-755dc673b877 · outbound

This paper cites Whittaker and G.N.

Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis Whittaker and G.N

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:16.029925Z

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Observation e7dd4a38-8890-4cba-b7c2-081f50b38400 · outbound

This paper cites Table of Integrals, Series and Products.

Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis Table of Integrals, Series and Products

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:15.741482Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 816d7c31-60f2-4685-9da5-a3fe9a6e1adc · outbound

This paper cites Prudnikov, Yu.A.

Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis Prudnikov, Yu.A

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:15.520805Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 64ba90b5-3d07-4c6b-972e-e2060d465fb1 · outbound

This paper cites Prudnikov, Yu.A.

Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis Prudnikov, Yu.A

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:15.256038Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation cd60671d-908b-4ab7-82d5-5709dcef8279 · outbound

This paper cites Contractions of Lie algebra and separation of variables , J.

Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis Contractions of Lie algebra and separation of variables , J

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:13.922830Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 03adca9b-4f1c-46d8-9e15-039f29701551 · outbound

This paper cites Contractions of Lie algebra and separation of variables.

Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis Contractions of Lie algebra and separation of variables

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:12.524615Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5e35b858-89b6-4e9e-afb2-a96cf4a17d1d · outbound

This paper cites Separation of variables and subgroup bases on n-dimensional hyperboloid , J.Math.Phys.

Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis Separation of variables and subgroup bases on n-dimensional hyperboloid , J.Math.Phys

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:10.178275Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 21c178c3-3931-4203-b31d-ab1324bac994 · outbound

This paper cites and G.S.Pogosyan.

Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis and G.S.Pogosyan

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:09.971690Z

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Observation 2fb0f8de-0fdb-4881-8c5a-97e3ad78621b · outbound

This paper cites Lie theory and separation of variables.

Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis Lie theory and separation of variables

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:09.752500Z

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Observation dfdc542b-5be7-4e06-acc1-2a40983f3038 · outbound

This paper cites Sov.J.Nucl.Phys.

Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis Sov.J.Nucl.Phys

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:09.502134Z

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Observation 3812d928-29b3-4d77-9c8a-95f69d784c7b · outbound

This paper cites an unresolved cited work.

Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:59:09.270077Z

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Observation d2efd807-3147-4d2d-9265-8f30bbd90a41 · outbound

This paper cites an unresolved cited work.

Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:59:09.082188Z

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Observation 813ffa3e-5a8d-42bf-904c-1b8220a2b9e6 · outbound

This paper cites an unresolved cited work.

Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:59:08.841819Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d6937c9d-dd3c-435c-927e-5f8a9e46bddf · outbound

This paper cites Path Integrals, Hyperbolic Space, and Selberg Trace Formulas.

Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis Path Integrals, Hyperbolic Space, and Selberg Trace Formulas

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:08.547455Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5e56135c-cc8c-4e68-8173-2748d5178740 · outbound

This paper cites an unresolved cited work.

Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:59:08.336908Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 156a3baf-71b5-464b-85a1-a0c657635efb · outbound

This paper cites Olver, Asymptotics and Special Functions , Academic Press, 1974.

Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis Olver, Asymptotics and Special Functions , Academic Press, 1974

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:08.110987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f4ee5a1a-bacf-4875-8d0d-333fa8d85d75 · outbound

This paper cites an unresolved cited work.

Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:59:07.871230Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d211f07a-7872-4725-b152-457b449baeb5 · outbound

This paper cites Koekoek et al., Hypergeometric Orthogonal Polynomials and Their q-Analogues , 185 Springer Monographs in Mathematics, Springer-Verlag Berlin Heidelberg, 2010.

Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis Koekoek et al., Hypergeometric Orthogonal Polynomials and Their q-Analogues , 185 Springer Monographs in Mathematics, Springer-Verlag Berlin Heidelberg, 2010

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:59:07.651462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.