Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T10:39:59.300090Z
Paper Citation Record · LEDGER
Orthogonality of polar Legendre polynomials and approximation
As of 8 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2506.04918.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
26 of 26 outbound references displayed
- verified exact0
- verified fuzzy14
- unresolved12
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 2d4d4de2-4cb3-4339-8bb5-c6b4faa4fff4 · outbound
This paper cites Szego , Orthogonal Polynomials, 4th ed., American Mathematical Society Colloquium Publications, Vol.23, Amer.
Orthogonality of polar Legendre polynomials and approximation Szego , Orthogonal Polynomials, 4th ed., American Mathematical Society Colloquium Publications, Vol.23, Amer
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:59.724871Z
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 68d601ab-2152-4bc4-a714-fc1b30b5826a · outbound
This paper cites an unresolved cited work.
Orthogonality of polar Legendre polynomials and approximation Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:39:59.714203Z
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 5bff2e2a-2152-4861-8597-5b0ecdeadecb · outbound
This paper cites Graduate School Theses and Dissertations.
Orthogonality of polar Legendre polynomials and approximation Graduate School Theses and Dissertations
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:59.704275Z
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 4a0f4009-f06d-4c33-84bd-f44609be5219 · outbound
This paper cites Gishe\ ,M.
Orthogonality of polar Legendre polynomials and approximation Gishe\ ,M
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:59.693884Z
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 3b16b7b0-1ffc-40a5-ac7e-b1ea24e5d231 · outbound
This paper cites Alberto Grunbaum, Random walks and orthogonal polynomials: some challenges, Probability, Geometry and Integrable Systems MSRI Publications,2007,Volume 55.
Orthogonality of polar Legendre polynomials and approximation Alberto Grunbaum, Random walks and orthogonal polynomials: some challenges, Probability, Geometry and Integrable Systems MSRI Publications,2007,Volume 55
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:59.682417Z
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 f6ccbe43-5571-495d-9d70-2c992a66dd3e · outbound
This paper cites an unresolved cited work.
Orthogonality of polar Legendre polynomials and approximation Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:39:59.670877Z
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 9d0c3ddc-d367-4b9f-9f02-9b6023e6a926 · outbound
This paper cites an unresolved cited work.
Orthogonality of polar Legendre polynomials and approximation Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:39:59.660093Z
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 c87557a7-ee70-4a9e-a9ae-d8042a3a5012 · outbound
This paper cites Foupouagnigni, On difference and differential equations for modifications of classical orthogonal polynomials.
Orthogonality of polar Legendre polynomials and approximation Foupouagnigni, On difference and differential equations for modifications of classical orthogonal polynomials
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:59.646008Z
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 65048b51-9c52-40c7-860b-bf18665b60ba · outbound
This paper cites Marcellan, J.
Orthogonality of polar Legendre polynomials and approximation Marcellan, J
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:59.633296Z
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 4fd2b1b0-9829-4b27-9ce6-b7f6823a05c4 · outbound
This paper cites an unresolved cited work.
Orthogonality of polar Legendre polynomials and approximation Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:39:59.621635Z
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 3d556d7c-f396-4529-956a-22f52a53ec24 · outbound
This paper cites an unresolved cited work.
Orthogonality of polar Legendre polynomials and approximation Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:39:59.611314Z
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 10c4e3bc-6ba3-448b-8861-16e3e01be073 · outbound
This paper cites an unresolved cited work.
Orthogonality of polar Legendre polynomials and approximation Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:39:59.600425Z
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 2edd6607-cf6d-4c5a-9c22-c4545bd1e386 · outbound
This paper cites Abramowitz and I.A.
Orthogonality of polar Legendre polynomials and approximation Abramowitz and I.A
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:59.589097Z
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 13982da2-7c03-4fc5-8649-616ee1d63e9d · outbound
This paper cites an unresolved cited work.
Orthogonality of polar Legendre polynomials and approximation Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:39:59.577387Z
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 550c9db5-4fa1-4903-aed9-925c96d2dbfa · outbound
This paper cites an unresolved cited work.
Orthogonality of polar Legendre polynomials and approximation Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:39:59.565550Z
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 77abe5a0-2d0f-43d5-94cb-cd99e005477f · outbound
This paper cites Dilcher, K.
Orthogonality of polar Legendre polynomials and approximation Dilcher, K
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:59.552962Z
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 767dd52d-01ae-4697-8696-c4f7834a7054 · outbound
This paper cites Karlin, J.
Orthogonality of polar Legendre polynomials and approximation Karlin, J
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:59.541328Z
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 53009ef4-697f-4574-8d8a-6ba2663b73fe · outbound
This paper cites an unresolved cited work.
Orthogonality of polar Legendre polynomials and approximation Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:39:59.530255Z
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 1df4f20a-13e8-46bb-b406-07383a6638ca · outbound
This paper cites L., Wong, R., A uniform asymptotic expansion of the Jacobi polynomials with error bounds, Canad.
Orthogonality of polar Legendre polynomials and approximation L., Wong, R., A uniform asymptotic expansion of the Jacobi polynomials with error bounds, Canad
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:59.519566Z
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 d866f4ea-a1d3-4645-9f0f-aa2b9a52cf90 · outbound
This paper cites Belinsky, Integrals of Legendre polynomials and solution of some partial differential equations, Journal of Applied Analysis, Vol.
Orthogonality of polar Legendre polynomials and approximation Belinsky, Integrals of Legendre polynomials and solution of some partial differential equations, Journal of Applied Analysis, Vol
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:59.508480Z
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 26b615ee-eb23-4c07-b148-a876b16a54ea · outbound
This paper cites Rehouma and M.
Orthogonality of polar Legendre polynomials and approximation Rehouma and M
Reference 21
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T10:39:58.509948Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 39473513-f5ef-40be-9ed4-9d5886e21898 · outbound
This paper cites Algerian Journal of Engineering Architectureand Urbanism Vol.
Orthogonality of polar Legendre polynomials and approximation Algerian Journal of Engineering Architectureand Urbanism Vol
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:59.495285Z
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 d1727169-ca5f-44a1-b9dd-1f3ae1122053 · outbound
This paper cites Abramowitz and I.
Orthogonality of polar Legendre polynomials and approximation Abramowitz and I
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:59.483455Z
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 e2cbc176-54d5-4ff9-b7e2-42a7f7bb17fe · outbound
This paper cites an unresolved cited work.
Orthogonality of polar Legendre polynomials and approximation Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:39:59.472852Z
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 d8249f0f-963a-4aa4-a28c-246f9a467c88 · outbound
This paper cites an unresolved cited work.
Orthogonality of polar Legendre polynomials and approximation Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:39:59.462323Z
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 666071c7-fcae-454b-8a43-de8a0f9d7638 · outbound
This paper cites Askey, Orthogonal Polynomials and Special Functions, Regional Conf.
Orthogonality of polar Legendre polynomials and approximation Askey, Orthogonal Polynomials and Special Functions, Regional Conf
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:59.450311Z
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.