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Paper Citation Record · LEDGER

Generalized product formulas for Whittaker's functions and a novel class of index transforms

As of 8 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:2506.05013.

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

pith.paper-citation-record.v1
2506.05013 v2

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:36:03.971216Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

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

11 of 11 outbound references displayed

  • verified exact1
  • verified fuzzy9
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 507ce514-4716-4d79-9d5e-7ac8fc950bc3 · outbound

This paper cites an unresolved cited work.

Generalized product formulas for Whittaker's functions and a novel class of index transforms Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:36:04.237198Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-07T10:36:03.181396Z digest=sha256:1795dd278cb1fc46bc65b7042a322b79035a60e0a73b7c44ba05d7d4be5118db

Observation 78129c7b-2fdd-43b5-8dc3-0e76cd1c706b · outbound

This paper cites Prudnikov, Yu.A.

Generalized product formulas for Whittaker's functions and a novel class of index transforms Prudnikov, Yu.A

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:36:04.215367Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-07T10:36:03.293602Z digest=sha256:6891f8b59ca4ff4486bf241e67548afb7cbab678f40aac9060c15d98d0b14abd

Observation 898334c6-b3b5-4050-8e32-3df346ff3cd8 · outbound

This paper cites Sousa, M.

Generalized product formulas for Whittaker's functions and a novel class of index transforms Sousa, M

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:36:04.191419Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-07T10:36:03.446654Z digest=sha256:a3d9e7ad847005b2f21bf0e8d6ca6d2d8671a4355710f212dd45e3d54c9c2783

Observation a8563f87-aa2a-4cef-95d2-380c140c4cf6 · outbound

This paper cites Titchmarsh, Introduction to the theory of Fourier integrals , Third edition.

Generalized product formulas for Whittaker's functions and a novel class of index transforms Titchmarsh, Introduction to the theory of Fourier integrals , Third edition

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:36:04.169275Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-07T10:36:03.615743Z digest=sha256:b0e7c5e5b45a6f645a0d4134b5c9cbe7ad94ff4b022ba438b8e0953dec01e9b2

Observation 650334e9-5141-49e2-ab51-f11f9011e46a · outbound

This paper cites Wimp, A class of integral transforms, Proc.

Generalized product formulas for Whittaker's functions and a novel class of index transforms Wimp, A class of integral transforms, Proc

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:36:04.142419Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-07T10:36:03.775351Z digest=sha256:eb089104cf6936c543ba3ec3abec03002ad9be6364dd82615ad2656e3bb16342

Observation 426f8133-6a9c-42e4-8cf2-fa65e02c5b84 · outbound

This paper cites Yakubovich and Yu.

Generalized product formulas for Whittaker's functions and a novel class of index transforms Yakubovich and Yu

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:36:04.116099Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-07T10:36:03.863073Z digest=sha256:a5b7736a673fcd388abc478a00ac9332d72a99bde6d2f3dea582ad01ba8f990a

Observation 89dda52e-1b8d-43e3-801f-6f1af2a7d113 · outbound

This paper cites Yakubovich, Index Transforms, World Scientific Publishing Company, Singapore, New Jersey, London and Hong Kong, 1996.

Generalized product formulas for Whittaker's functions and a novel class of index transforms Yakubovich, Index Transforms, World Scientific Publishing Company, Singapore, New Jersey, London and Hong Kong, 1996

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:36:04.093688Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-07T10:36:03.923934Z digest=sha256:ddab7b7e8316699158f0268663c36748b65dd172f180bab4b765c307e284c9b8

Observation 7605fb51-8ca7-41ff-92d1-3b29288d95b5 · outbound

This paper cites Yakubovich, Index transforms associated with products of Whittaker’s functions.

Generalized product formulas for Whittaker's functions and a novel class of index transforms Yakubovich, Index transforms associated with products of Whittaker’s functions

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:36:04.077444Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-07T10:36:03.957869Z digest=sha256:cfb8d8c6d3c619840dbfa8d5ceb0e8f1cea1e95782ce8d865b3799971bada702

Observation 9d34b61d-f032-4abb-ba3e-8dbf4119f1fd · outbound

This paper cites Yakubovich, On the Plancherel theorem for the Olevskii transform.

Generalized product formulas for Whittaker's functions and a novel class of index transforms Yakubovich, On the Plancherel theorem for the Olevskii transform

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:36:04.054719Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-07T10:36:03.962460Z digest=sha256:6aaeb8728fcec553ca49c08902d1f47a7c8c4a749c08ef5fcaefe3db42551d86

Observation 78eaebdf-f525-4a0d-86e5-ead271362f4b · outbound

This paper cites Yakubovich (1992).

Generalized product formulas for Whittaker's functions and a novel class of index transforms Yakubovich (1992)

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:36:04.037627Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-07T10:36:03.966687Z digest=sha256:ae8bc44f23dce0990466cff567f69c4fdb9c020dd337d055238eb24cef025427

Observation 90f6c793-0d40-4861-a2b1-860bd94eb7b9 · outbound

This paper cites A new index transform with the square of Whittaker's function.

Generalized product formulas for Whittaker's functions and a novel class of index transforms A new index transform with the square of Whittaker's function

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-07T10:36:04.018783Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-07T10:36:03.971216Z digest=sha256:b59234013774fb6b5069cf25c0c47c63b625526f39de41c8254fec7e62dfcdf1

Pith citing papers

No inbound Pith citation observations are available.