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Paper Citation Record · LEDGER

The rank two Jacobi algebra

As of 13 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 1 inbound Pith citation observation for arXiv:2507.07766.

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2507.07766 v1

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measured 51 of 51 reference resolution

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Reference resolution

51 of 51 outbound references displayed

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Outbound references

Observation c8c8676f-1333-43f6-ab4a-8bcd89699d4e · outbound

This paper cites Hypergeometric orthogonal polynomials.

The rank two Jacobi algebra Hypergeometric orthogonal polynomials

Reference 1

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation fece5a6d-7aab-4461-8029-88ee2af0308e · outbound

This paper cites Tridiagonalization of the hypergeometric operator and the Racah–Wilson algebra.

The rank two Jacobi algebra Tridiagonalization of the hypergeometric operator and the Racah–Wilson algebra

Reference 2

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Observation 3779b9ae-6067-400b-baec-c933a0377953 · outbound

This paper cites Nature of the symmetry group of the 6 j-symbol.

The rank two Jacobi algebra Nature of the symmetry group of the 6 j-symbol

Reference 3

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Observation 6fbf7624-7028-443e-8bfb-95416db23907 · outbound

This paper cites Superintegrability in two dimensions and the Racah–Wilson algebra.

The rank two Jacobi algebra Superintegrability in two dimensions and the Racah–Wilson algebra

Reference 4

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Observation 09b7b4a8-1445-4766-a36c-0412fccd1920 · outbound

This paper cites The Racah algebra and superintegrable models.

The rank two Jacobi algebra The Racah algebra and superintegrable models

Reference 5

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Observation 498690d2-134e-49da-9937-d949b154e95a · outbound

This paper cites Hidden symmetry.

The rank two Jacobi algebra Hidden symmetry

Reference 6

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Observation d392eddc-30b6-42d5-8c6b-62edfb4fd828 · outbound

This paper cites Hidden Symmetry of the Racah and Clebsch-Gordan Problems for the Quantum Algebra sl_q(2).

The rank two Jacobi algebra Hidden Symmetry of the Racah and Clebsch-Gordan Problems for the Quantum Algebra sl_q(2)

Reference 7

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Observation 9e89870b-77e5-4e9c-8374-8f8dc51e7b1b · outbound

This paper cites The Askey–Wilson algebra and its avatars.Journal of Physics A: Mathematical and Theoretical, 54(6):063001, 2021.

The rank two Jacobi algebra The Askey–Wilson algebra and its avatars.Journal of Physics A: Mathematical and Theoretical, 54(6):063001, 2021

Reference 8

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Observation 62073f90-bc64-40a3-8a81-32a44bf74654 · outbound

This paper cites Mutual integrability, quadratic algebras, and dynamical symmetry.

The rank two Jacobi algebra Mutual integrability, quadratic algebras, and dynamical symmetry

Reference 9

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Observation 942cf7a4-f20e-48e0-9d89-ef697f924cee · outbound

This paper cites Jacobi algebra and potentials generated by it.

The rank two Jacobi algebra Jacobi algebra and potentials generated by it

Reference 10

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Observation 71c1d995-02d7-47cd-86b4-164e9b3407f1 · outbound

This paper cites A higher rank Racah algebra and the Zn 2 Laplace–Dunkl operator.

The rank two Jacobi algebra A higher rank Racah algebra and the Zn 2 Laplace–Dunkl operator

Reference 11

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Observation aac37f95-727f-4d41-9a0d-91a476b2a3ce · outbound

This paper cites Racah algebras, the centralizer Zn(sl2) and its Hilbert-Poincar´ e series.Annales Henri Poincar´ e, 23:2657–2682, 2022.

The rank two Jacobi algebra Racah algebras, the centralizer Zn(sl2) and its Hilbert-Poincar´ e series.Annales Henri Poincar´ e, 23:2657–2682, 2022

Reference 12

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Observation 8cc9ca1b-b2e0-4d69-83c2-ae481b647180 · outbound

This paper cites Some multivariable orthogonal polynomials of the Askey tableau-discrete families.

The rank two Jacobi algebra Some multivariable orthogonal polynomials of the Askey tableau-discrete families

Reference 13

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Observation 4febdd1a-12cc-4f12-bbfe-a1b1e9f271ac · outbound

This paper cites Two-variable Wilson polynomials and the generic superin- tegrable system on the 3-sphere.

The rank two Jacobi algebra Two-variable Wilson polynomials and the generic superin- tegrable system on the 3-sphere

Reference 14

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Observation 8e853747-8de0-4319-a1ad-b09996fa5243 · outbound

This paper cites Representations of the rank two Racah algebra and orthogonal multivariate polynomials.

The rank two Jacobi algebra Representations of the rank two Racah algebra and orthogonal multivariate polynomials

Reference 15

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Observation dbc1dadf-08d1-498a-a652-4d3e262c30fa · outbound

This paper cites The Racah algebra of rank 2: Properties, symmetries and representation.

The rank two Jacobi algebra The Racah algebra of rank 2: Properties, symmetries and representation

Reference 16

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Observation d5d76e28-dd75-4a0c-ab50-3db41de55b12 · outbound

This paper cites Two-variable analogues of the classical orthogonal polynomials.

The rank two Jacobi algebra Two-variable analogues of the classical orthogonal polynomials

Reference 17

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source=pdf_text observed=2026-08-06T18:38:06.721560Z digest=sha256:121b8677565a74d1cd552618dd4ea0594163f5883d9e8f577095e9b416e565f6

Observation d8ffc3b4-3e9e-4b19-a52d-bd5005c834b7 · outbound

This paper cites Sur une famille de polynˆ omes ` a deux variables orthogonaux dans un triangle.Comptes rendus hebdomadaires des s´ eances de l’Acad´ emie des sciences, 245(26):2459–2461, 1957.

The rank two Jacobi algebra Sur une famille de polynˆ omes ` a deux variables orthogonaux dans un triangle.Comptes rendus hebdomadaires des s´ eances de l’Acad´ emie des sciences, 245(26):2459–2461, 1957

Reference 18

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Observation 92775579-0693-445f-8e3d-793f650761ef · outbound

This paper cites Orthogonal polynomials of several variables.

The rank two Jacobi algebra Orthogonal polynomials of several variables

Reference 19

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Observation e8feb124-a638-437d-a950-f55e08875194 · outbound

This paper cites Spectral/hp element methods for computational fluid dynamics.

The rank two Jacobi algebra Spectral/hp element methods for computational fluid dynamics

Reference 20

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Observation 03577008-e81a-4cd1-a60a-f4c7f3fa8dec · outbound

This paper cites Orthogonal polynomials in two variables.

The rank two Jacobi algebra Orthogonal polynomials in two variables

Reference 21

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Observation 292be584-6d66-4209-ba96-c8b1cb08d00d · outbound

This paper cites On some two-dimensional analogues of classical orthogonal polynomials.

The rank two Jacobi algebra On some two-dimensional analogues of classical orthogonal polynomials

Reference 22

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Observation 545a07c1-7a39-40aa-a59f-de64ab5b03ac · outbound

This paper cites Two-Dimensional Krall–Sheffer Polynomials and Quantum Systems on Spaces with Constant Curvature.

The rank two Jacobi algebra Two-Dimensional Krall–Sheffer Polynomials and Quantum Systems on Spaces with Constant Curvature

Reference 23

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Observation e7ca1443-9616-4f1d-a141-e87314698088 · outbound

This paper cites Recent trends on two variable orthogonal polynomials.

The rank two Jacobi algebra Recent trends on two variable orthogonal polynomials

Reference 24

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Observation f30150b4-f44e-414a-b05b-de5d33564d8a · outbound

This paper cites Bispectrality of multivariable Racah–Wilson polynomials.

The rank two Jacobi algebra Bispectrality of multivariable Racah–Wilson polynomials

Reference 25

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source=pdf_text observed=2026-08-06T18:38:06.767755Z digest=sha256:309d7ab8fa964f58732cf96777356060aa689e840120e1d3287578cfb51a73d6

Observation 2a24cd29-77e2-4db5-86b3-2d0bea40c616 · outbound

This paper cites Orthogonal polynomials in two variables of q-Hahn and q-Jacobi type.

The rank two Jacobi algebra Orthogonal polynomials in two variables of q-Hahn and q-Jacobi type

Reference 26

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source=pdf_text observed=2026-08-06T18:38:06.773839Z digest=sha256:fd0e282f51e7cf6a7bc4efddf98aded3719ac9a9998f26100768c85831f4097b

Observation 252ae6d0-fe32-4407-8021-2ff80179002f · outbound

This paper cites Two-variable orthogonal polynomials of big q-Jacobi type.Journal of computational and applied mathematics , 233(6):1554–1561, 2010.

The rank two Jacobi algebra Two-variable orthogonal polynomials of big q-Jacobi type.Journal of computational and applied mathematics , 233(6):1554–1561, 2010

Reference 27

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Observation 98e5975f-ad33-480b-a5f1-da919c799142 · outbound

This paper cites Structure relations for the bivariate big q-Jacobi polynomials.

The rank two Jacobi algebra Structure relations for the bivariate big q-Jacobi polynomials

Reference 28

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Observation 730808b2-b1dc-41d8-8f3b-37a7e66e4933 · outbound

This paper cites Two-variable −1 Jacobi polynomials.

The rank two Jacobi algebra Two-variable −1 Jacobi polynomials

Reference 29

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Observation bb9833c5-1af1-4191-9859-cb357dd8960a · outbound

This paper cites A limit q = −1 for the big q-Jacobi polynomials.

The rank two Jacobi algebra A limit q = −1 for the big q-Jacobi polynomials

Reference 30

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Observation e56ed97e-45ce-409b-96c6-5b5672a29c99 · outbound

This paper cites Symmetry algebra for the generic superintegrable system on the sphere.

The rank two Jacobi algebra Symmetry algebra for the generic superintegrable system on the sphere

Reference 31

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source=pdf_text observed=2026-08-06T18:38:06.800825Z digest=sha256:df5d17bbe046680223dacf31f348cdae6a50f0da5ffa32bec5ed2dc3f51055b2

Observation 8edb31c3-2951-4c89-a367-77266a309701 · outbound

This paper cites Realisations of Racah algebras using Jacobi operators and convolution identities.

The rank two Jacobi algebra Realisations of Racah algebras using Jacobi operators and convolution identities

Reference 32

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source=pdf_text observed=2026-08-06T18:38:06.806531Z digest=sha256:1d254ebdef2106ab6f2ee3191a9a2af78462f9004318d9b49184c2c23ce7b1c2

Observation 28fd5082-772a-4793-8a9e-58cec6200d4c · outbound

This paper cites Bargmann and Barut-Girardello models for the Racah algebra.

The rank two Jacobi algebra Bargmann and Barut-Girardello models for the Racah algebra

Reference 33

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source=pdf_text observed=2026-08-06T18:38:06.812633Z digest=sha256:68fdd80b42f67577a22a248c00308a0e5029793e9a83ea1fe81bcd09cb75c0af

Observation 5ad5eb59-8d70-48b3-9a07-24abae51bca5 · outbound

This paper cites Bispectrality of Multivariable Racah–Wilson Polynomials.

The rank two Jacobi algebra Bispectrality of Multivariable Racah–Wilson Polynomials

Reference 34

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source=pdf_text observed=2026-08-06T18:38:06.818326Z digest=sha256:1cfbe62b0aee84edc10a10eab33ca5a165c065ac17b4aa41af1052c1710a7520

Observation cdd4bc24-d1ee-45a6-b89d-0b6f2fd201c1 · outbound

This paper cites Racah Polynomials and Recoupling Schemes of su(1, 1).

The rank two Jacobi algebra Racah Polynomials and Recoupling Schemes of su(1, 1)

Reference 35

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verified fuzzy
raw_fallback, observed 2026-08-06T18:38:07.312367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:38:06.823257Z digest=sha256:75c423bfeb185021387cd35f1039943f036cc537f8895f45ef55e208ceac23df

Observation db7269e2-ad43-4b65-a619-395535fdf23c · outbound

This paper cites The generalized Racah algebra as a commutant.

The rank two Jacobi algebra The generalized Racah algebra as a commutant

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:38:07.292858Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-06T18:38:06.829131Z digest=sha256:bb10847e196cedb91adc1914bd23c3037aec7cc7e21c9331b8afac88a0452c7b

Observation 4c70527f-740e-4893-bf7d-faf0453060b5 · outbound

This paper cites The Racah algebra: An overview and recent results.

The rank two Jacobi algebra The Racah algebra: An overview and recent results

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:38:07.274612Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:38:06.836602Z digest=sha256:f5ad8d3f8537eb371f7d20ae7eb6f59ac4e92cad31c3c922d9f7d41ca1ec84d2

Observation f8329fe0-0a7e-4b5d-85cc-f46991c8f8dc · outbound

This paper cites Embedding of the Racah Algebra R(n) and Superintegrability.

The rank two Jacobi algebra Embedding of the Racah Algebra R(n) and Superintegrability

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:38:07.256697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:38:06.841742Z digest=sha256:c2733a17fbff01d8b33f62c31c9c88d44da5958e1f7427a466c2a4dbc2128077

Observation eb6caca7-ae15-4aa8-80c1-faae24b730fd · outbound

This paper cites Frappat, J Gaboriaud, E Ragoucy, L Vinet, and M Zaimi.

The rank two Jacobi algebra Frappat, J Gaboriaud, E Ragoucy, L Vinet, and M Zaimi

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:38:07.237107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:38:06.846983Z digest=sha256:9388be4f4b6c6beda76b8aea05ac8eb3eecc34209c10c5c9c048efd17bfd098f

Observation 9f557f86-c52c-4211-ac98-c8a979cae55b · outbound

This paper cites The structure relation for Askey–Wilson polynomials.

The rank two Jacobi algebra The structure relation for Askey–Wilson polynomials

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:38:07.216751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:38:06.860547Z digest=sha256:bd6c8522b90f1514c5660a4a77e865da6ee6bb5820bb62013510d38c192a41f1

Observation 79f6e146-b9c0-4b76-a85b-f42e8b882e07 · outbound

This paper cites Degenerate Sklyanin algebras, Askey– Wilson polynomials and Heun operators.

The rank two Jacobi algebra Degenerate Sklyanin algebras, Askey– Wilson polynomials and Heun operators

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:38:07.192695Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-06T18:38:06.866348Z digest=sha256:d88b9eba7e9a6125999bc454b92859b067df0b0a4d9642ea845261d19efe41f5

Observation f5e3823d-1c5d-4a86-98d9-1e0698976770 · outbound

This paper cites Bivariate second-order linear partial differential equations and orthogonal polynomial solutions.

The rank two Jacobi algebra Bivariate second-order linear partial differential equations and orthogonal polynomial solutions

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:38:07.173790Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-06T18:38:06.872078Z digest=sha256:f3b50c519f18f37e9880f10a460bd6ac51bf2ca62238ddba19c74924ad1d660b

Observation af1a85c6-8410-4763-94a9-d6e919c46470 · outbound

This paper cites Weak classical orthogonal polynomials in two variables.

The rank two Jacobi algebra Weak classical orthogonal polynomials in two variables

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:38:07.155910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:38:06.877308Z digest=sha256:4c4f7c467b1615d9da06fb7831f28d0f0c558857735e2eaed2cf1b280859fa69

Observation f818f0be-86f9-432f-881c-ae803d9ea90d · outbound

This paper cites Tridiagonalization and the Heun equation.

The rank two Jacobi algebra Tridiagonalization and the Heun equation

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:38:07.137505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:38:06.884048Z digest=sha256:d5ba1bb11985f9eba5e422872e898f805d7f19bfde9e54b731996b2880af5092

Observation 405a9933-6f7b-4f4d-bb2b-c2adf1f7e7b7 · outbound

This paper cites Dunkl shift operators and Bannai–Ito polynomials.

The rank two Jacobi algebra Dunkl shift operators and Bannai–Ito polynomials

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:38:07.119753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:38:06.888814Z digest=sha256:d9fbddae3f29e132c2fac25bdd053a8790996ac2223cd08e0e7e60d9d48ab11a

Observation 8dcfc61f-3b57-4e97-b734-6bafa8376556 · outbound

This paper cites A Laplace–Dunkl equation on S2 and the Bannai–Ito algebra.

The rank two Jacobi algebra A Laplace–Dunkl equation on S2 and the Bannai–Ito algebra

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:38:07.104255Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-06T18:38:06.893702Z digest=sha256:de9cbd20fd70b98b5c12289f6337370870341d1c4d6cd18659ee3d9a1540ec5f

Observation 4b264330-680b-48dd-a326-8a520e6e0d1e · outbound

This paper cites The Bannai-Ito algebra and some applications.

The rank two Jacobi algebra The Bannai-Ito algebra and some applications

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:38:07.081873Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-06T18:38:06.898258Z digest=sha256:f39338a89a3c657e6671272ed166a94c16981c91e02317ec131735b2f03283ba

Observation 7231bfce-3c7e-48ae-a5af-914013ec53f6 · outbound

This paper cites FactorizedA2-Leonard pair.

The rank two Jacobi algebra FactorizedA2-Leonard pair

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:38:07.062569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:38:06.902727Z digest=sha256:0d34d9438141f094a23e7defb319fda42def531714c16a2a137eddaad5e97c55

Observation b80ab54f-78de-4a26-9eed-fabd963d7c3c · outbound

This paper cites The Higgs and Hahn algebras from a Howe duality perspective.

The rank two Jacobi algebra The Higgs and Hahn algebras from a Howe duality perspective

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:38:07.040252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:38:06.908652Z digest=sha256:5b3e470a024e1705bbd2565abcf6093f32c33a6687def7f2fa1402b236c47315

Observation f21ad3a9-9605-461a-8a02-f0cafad27963 · outbound

This paper cites Higher transcendental functions, volume II.Bateman Manuscript Project) Mc Graw-Hill Book Company , 410, 1953.

The rank two Jacobi algebra Higher transcendental functions, volume II.Bateman Manuscript Project) Mc Graw-Hill Book Company , 410, 1953

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:38:07.015377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:38:06.914173Z digest=sha256:20b146801a5f7a0445dbb5a8e81417af6aec13818e561ceee2f244558a58a666

Observation 6e8b4a1f-2e75-46df-8d1a-13ad120c4be6 · outbound

This paper cites An introduction to orthogonal polynomials.

The rank two Jacobi algebra An introduction to orthogonal polynomials

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:38:06.994009Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-06T18:38:06.918984Z digest=sha256:de21324dd36c992502fe327e8f97116604fca8708575a83c02654b241aa40182

Pith citing papers

Observation 5ed31f2f-ee56-4e95-9c6f-64bd32312afd · inbound

Realization embeddings of the rank two Racah algebra into the rank two Jacobi algebra cites this paper.

Realization embeddings of the rank two Racah algebra into the rank two Jacobi algebra The rank two Jacobi algebra

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-03T08:41:37.924092Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T08:41:37.924092Z digest=sha256:5df9c85fba9bcf07288f6c3f6676109b372c5703ab983d8a8bee1b564f039a23