Paper Citation Record · LEDGER

Zeros of linear combinations of Laguerre polynomials

As of 12 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 1 inbound Pith citation observation for arXiv:2507.22425.

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

pith.paper-citation-record.v1
2507.22425 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T11:48:34.720251Z

measured 30 of 30 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-12T06:45:15.709467Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

29 of 29 outbound references displayed

verified exact4
verified fuzzy23
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 07a75886-39a5-4993-b203-e691d6bf738f · outbound

This paper cites Ahlfors, Complex analysis.

Zeros of linear combinations of Laguerre polynomials Ahlfors, Complex analysis

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:48:40.814735Z

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.

Observation 327d5793-40a6-4746-b20d-d117be763099 · outbound

This paper cites Beardon, K.A.

Zeros of linear combinations of Laguerre polynomials Beardon, K.A

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:48:40.654996Z

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.

Observation 028e3d4d-f461-4622-8fc8-54ee983a0f4a · outbound

This paper cites Cardon, E.L.

Zeros of linear combinations of Laguerre polynomials Cardon, E.L

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:48:40.460946Z

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.

Observation ef39076b-18ba-442f-b40c-195d146f6def · outbound

This paper cites Chasse, Linear Preservers and Entire Functions with Restricted Zero Loci, Univer- sity of Hawai’i, PhD dissertation (2011).

Zeros of linear combinations of Laguerre polynomials Chasse, Linear Preservers and Entire Functions with Restricted Zero Loci, Univer- sity of Hawai’i, PhD dissertation (2011)

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:48:40.229055Z

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.

Observation fde991c4-d553-4320-8a0a-bd09305ae9d5 · outbound

This paper cites Craven and G.

Zeros of linear combinations of Laguerre polynomials Craven and G

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:48:40.040941Z

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.

Observation 9e5dcd8f-6352-4416-b16d-b588f6f1d4d5 · outbound

This paper cites Driver, K.

Zeros of linear combinations of Laguerre polynomials Driver, K

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:48:39.841819Z

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.

Observation f97c5b15-6681-419d-a1b5-49ca5085b2f9 · outbound

This paper cites Dur´ an, Generalized Bell polynomials, J.

Zeros of linear combinations of Laguerre polynomials Dur´ an, Generalized Bell polynomials, J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:48:39.693114Z

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.

Observation bb995dec-7962-4a6b-8b5f-ab81a5a0eefc · outbound

This paper cites Brenke polynomials with real zeros and the Riemann Hypothesis.

Zeros of linear combinations of Laguerre polynomials Brenke polynomials with real zeros and the Riemann Hypothesis

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-06T11:48:35.835880Z

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.

Observation 800e9537-8105-4ac9-8345-99a1ff091b8d · outbound

This paper cites Zeros of linear combinations of orthogonal polynomials.

Zeros of linear combinations of Laguerre polynomials Zeros of linear combinations of orthogonal polynomials

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T11:48:32.464277Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5f53e6a6-45ab-456c-82d4-4408be6526e4 · outbound

This paper cites Zeros of linear combinations of Hermite polynomials.

Zeros of linear combinations of Laguerre polynomials Zeros of linear combinations of Hermite polynomials

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-06T11:48:35.577075Z

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.

Observation 34ca2081-8634-4b0d-859b-15ccbf3af7d6 · outbound

This paper cites Erd´ elyi, W.

Zeros of linear combinations of Laguerre polynomials Erd´ elyi, W

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:48:39.518821Z

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.

Observation a693b991-6f15-4f55-8e32-417d8bb15083 · outbound

This paper cites The Laguerre polynomials preserve real-rootedness.

Zeros of linear combinations of Laguerre polynomials The Laguerre polynomials preserve real-rootedness

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-06T11:48:35.373825Z

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.

Observation 3d755453-d0a8-4a76-ba38-9b70949c9e40 · outbound

This paper cites Gawronski, On the asymptotic distribution of the zeros of Hermite, Laguerre, and Jon- qui´ ere polynomials, J.

Zeros of linear combinations of Laguerre polynomials Gawronski, On the asymptotic distribution of the zeros of Hermite, Laguerre, and Jon- qui´ ere polynomials, J

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:48:39.338496Z

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.

Observation 2becdc55-e811-44bb-ac58-b5a848ecc0df · outbound

This paper cites Geronimo, W.

Zeros of linear combinations of Laguerre polynomials Geronimo, W

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:48:39.187944Z

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.

Observation cb8495e6-cf78-4f2c-99fc-ec887e02bd29 · outbound

This paper cites Householder, The numerical treatment of a single nonlinear equation, McGraw-Hill, New York, 1970.

Zeros of linear combinations of Laguerre polynomials Householder, The numerical treatment of a single nonlinear equation, McGraw-Hill, New York, 1970

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:48:39.030256Z

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.

Observation 48782415-4a0b-4b02-89a6-270089a78f25 · outbound

This paper cites Iserles and S.P.

Zeros of linear combinations of Laguerre polynomials Iserles and S.P

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:48:38.799553Z

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.

Observation df70bd1e-6308-48ff-9c2a-2cf39c8e8cda · outbound

This paper cites Iserles, S.P.

Zeros of linear combinations of Laguerre polynomials Iserles, S.P

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:48:38.586007Z

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.

Observation 3083a955-90f7-429a-b314-1e5f49e7959b · outbound

This paper cites Iserles and E.

Zeros of linear combinations of Laguerre polynomials Iserles and E

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:48:38.377048Z

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.

Observation 2ce9d8b3-7915-4ef9-b672-5004281a5aca · outbound

This paper cites an unresolved cited work.

Zeros of linear combinations of Laguerre polynomials Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-06T11:48:38.139863Z

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.

Observation b850a21e-89c7-4d4f-a1d3-1e116f6e9558 · outbound

This paper cites Koelink, P.

Zeros of linear combinations of Laguerre polynomials Koelink, P

Reference 20

Resolution: verified exact; raw_fallback, observed 2026-08-06T11:48:35.094124Z

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.

Observation 6baa887d-1213-4ce4-80d1-5f2e5754cdfa · outbound

This paper cites Mez˝ o, On the maximum ofr-Stirling numbers, Adv.

Zeros of linear combinations of Laguerre polynomials Mez˝ o, On the maximum ofr-Stirling numbers, Adv

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:48:37.915335Z

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.

Observation d5475c79-4e5c-4c8d-9b49-30cee85435a5 · outbound

This paper cites Mez˝ o and R.B.

Zeros of linear combinations of Laguerre polynomials Mez˝ o and R.B

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:48:37.683810Z

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.

Observation f37a90ee-7588-4a90-82be-b250c5c0b329 · outbound

This paper cites Mez˝ o and J.L.

Zeros of linear combinations of Laguerre polynomials Mez˝ o and J.L

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:48:37.441054Z

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.

Observation 40e5b5c7-83a1-4cf1-8b44-efaa33065bf8 · outbound

This paper cites Peherstorfer, Linear combination of orthogonal polynomials generating positive quadrature formulas, Math.

Zeros of linear combinations of Laguerre polynomials Peherstorfer, Linear combination of orthogonal polynomials generating positive quadrature formulas, Math

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:48:37.197359Z

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.

Observation e1e40a8a-669a-4fee-a03e-e0d5962d952f · outbound

This paper cites Peherstorfer, Zeros of linear combinations of orthogonal polynomials, Math.

Zeros of linear combinations of Laguerre polynomials Peherstorfer, Zeros of linear combinations of orthogonal polynomials, Math

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:48:36.998075Z

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.

Observation 8e15b53a-6147-4c6a-9cb3-abde7a8a54ec · outbound

This paper cites Piotrowski, Linear Operators and the Distribution of Zeros of Entire Functions, University of Hawai’i, PhD Dissertation (2007).

Zeros of linear combinations of Laguerre polynomials Piotrowski, Linear Operators and the Distribution of Zeros of Entire Functions, University of Hawai’i, PhD Dissertation (2007)

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:48:36.773260Z

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.

Observation 16ecf929-afa5-4099-af2c-1d72ef528dc7 · outbound

This paper cites P´ olya and J.

Zeros of linear combinations of Laguerre polynomials P´ olya and J

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:48:36.543055Z

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.

Observation b1753286-c93c-4b0c-b6ff-c6071002c0ef · outbound

This paper cites Shohat, On mechanical quadratures, in particular, with positive coefficients, Trans.

Zeros of linear combinations of Laguerre polynomials Shohat, On mechanical quadratures, in particular, with positive coefficients, Trans

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:48:36.305509Z

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.

Observation b32aba52-53f8-484e-8dbb-e73c04b04cd6 · outbound

This paper cites Szeg¨ o, Orthogonal Polynomials.

Zeros of linear combinations of Laguerre polynomials Szeg¨ o, Orthogonal Polynomials

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:48:36.089608Z

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.

Pith citing papers

Observation dad42c8b-d1f8-4e1f-b74c-eaa7669c0a1d · inbound

Zeros of GKP sequences of polynomials cites this paper.

Zeros of GKP sequences of polynomials Zeros of linear combinations of Laguerre polynomials

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-12T06:45:15.709467Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.