Paper Citation Record · LEDGER

Zeros of linear combinations of Hermite polynomials

As of 12 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 2 inbound Pith citation observations for arXiv:2505.15330.

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

pith.paper-citation-record.v1
2505.15330 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:31:18.545842Z

measured 24 of 24 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T11:48:32.598561Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T11:48:35.478465Z

Reference resolution

22 of 22 outbound references displayed

verified exact0
verified fuzzy19
unresolved2
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 151d31ca-0bf4-458e-8c64-b21f93738a67 · outbound

This paper cites Ahlfors, Complex analysis.

Zeros of linear combinations of Hermite polynomials Ahlfors, Complex analysis

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:22.372625Z

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 16e2a605-57a3-444d-9f63-eb5ad33ded4e · outbound

This paper cites Beardon, K.A.

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

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:22.360807Z

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 7eb1683d-940e-4866-8b39-f19d5180ad7c · outbound

This paper cites Br¨ and´ en, On operators on polynomials preserving real-rootedness and the Neggers-Stanley conjecture, J.

Zeros of linear combinations of Hermite polynomials Br¨ and´ en, On operators on polynomials preserving real-rootedness and the Neggers-Stanley conjecture, J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:22.336011Z

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 85b8b8d2-493f-404b-a61c-8768085367b6 · outbound

This paper cites Deift, Orthogonal Polynomials and Random Matrices: a Riemann-Hilbert approach, in: Courant Lecture Notes in Mathematics, vol.

Zeros of linear combinations of Hermite polynomials Deift, Orthogonal Polynomials and Random Matrices: a Riemann-Hilbert approach, in: Courant Lecture Notes in Mathematics, vol

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:22.150752Z

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 b30d6bd2-862a-4e61-9872-4e1489f0c887 · outbound

This paper cites Driver, K.

Zeros of linear combinations of Hermite polynomials Driver, K

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:21.973429Z

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 217ad58c-2aad-4b4c-8937-3d3ef0e82172 · outbound

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

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

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:21.833768Z

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 b6495b11-18f3-4767-9e21-ed3a6cc1c593 · outbound

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

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

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T15:31:17.033290Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e4d69646-9c97-46b5-8037-538e49ed3419 · outbound

This paper cites Zeros of linear combinations of orthogonal polynomials.

Zeros of linear combinations of Hermite polynomials Zeros of linear combinations of orthogonal polynomials

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T15:31:17.117651Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3d339655-d590-4ed2-a43e-9bc5170dce0e · outbound

This paper cites Dur´ an, Zeros of linear combinations of Laguerre po lynomials.

Zeros of linear combinations of Hermite polynomials Dur´ an, Zeros of linear combinations of Laguerre po lynomials

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:21.687101Z

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 d6da5b59-e1c1-4afc-8472-4bee8bd33b0d · outbound

This paper cites Iserles and S.P.

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

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:21.513119Z

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 d5c1bf00-a37b-4df4-8d93-d3c268749d27 · outbound

This paper cites Iserles, S.P.

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

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:21.305227Z

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 56096f29-0560-402f-b8ab-444a367270c3 · outbound

This paper cites Iserles and E.

Zeros of linear combinations of Hermite polynomials Iserles and E

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:21.160974Z

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 95dbdf68-1454-494b-8413-e021b0dc052e · outbound

This paper cites Ismail, Classical and quantum orthogonal polynomials in one variab le, Encyclopedia of Mathematics and its Applications, 98, Cambridge Univ.

Zeros of linear combinations of Hermite polynomials Ismail, Classical and quantum orthogonal polynomials in one variab le, Encyclopedia of Mathematics and its Applications, 98, Cambridge Univ

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:21.016412Z

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 4f6387d8-30a7-41d7-88d5-af70594f8fc6 · outbound

This paper cites Koekoek, P.

Zeros of linear combinations of Hermite polynomials Koekoek, P

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:20.787178Z

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 9c4d6df4-93c2-4629-bbc8-fe356a8649be · outbound

This paper cites Koelink, P.

Zeros of linear combinations of Hermite polynomials Koelink, P

Reference 15

Resolution: malformed identifier; no resolver link, observed 2026-08-07T15:31:17.711657Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c8c55207-4b0f-481f-b403-685446308fad · outbound

This paper cites Mart ´ ınez-Finkelshtein and W.

Zeros of linear combinations of Hermite polynomials Mart ´ ınez-Finkelshtein and W

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:20.484468Z

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 73f85b07-3537-47af-9e51-bab59e96607e · outbound

This paper cites Olver, D.W.

Zeros of linear combinations of Hermite polynomials Olver, D.W

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:20.197744Z

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 22347ab4-ddf7-4818-aed3-e8b9cd149840 · outbound

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

Zeros of linear combinations of Hermite polynomials Peherstorfer, Linear combination of orthogonal pol ynomials generating positive quadrature formulas, Math

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:19.936732Z

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 cda79288-6173-4f2e-8b4f-a987f64b6ba4 · outbound

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

Zeros of linear combinations of Hermite polynomials Peherstorfer, Zeros of linear combinations of ortho gonal polynomials, Math

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:19.714267Z

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 387bd3d0-2c8a-44ed-9301-2f13cbb22bff · outbound

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

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

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:19.477101Z

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 32bad261-e484-4e26-bbf5-d961d273b046 · outbound

This paper cites Szeg¨ o, On an inequality of P.

Zeros of linear combinations of Hermite polynomials Szeg¨ o, On an inequality of P

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:19.131069Z

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 85f92c9f-b894-4fba-8518-9a227b472262 · outbound

This paper cites Szeg¨ o, Orthogonal Polynomials.

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

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:18.877047Z

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

Zeros of linear combinations of Laguerre polynomials cites this paper.

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 8c9ef577-7205-4426-bce4-8bee2e3268b3 · inbound

Zeros of GKP sequences of polynomials cites this paper.

Zeros of GKP sequences of polynomials Zeros of linear combinations of Hermite polynomials

Reference 6

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.