Paper Citation Record · LEDGER

Zeros of linear combinations of orthogonal polynomials

As of 23 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 4 inbound Pith citation observations for arXiv:2505.11956.

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

pith.paper-citation-record.v1
2505.11956 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T20:53:03.952884Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T11:21:45.336450Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T16:07:09.364714Z

Reference resolution

23 of 23 outbound references displayed

verified exact0
verified fuzzy8
unresolved14
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9c5991eb-80cb-4eb2-88a1-c37c9482f3cf · outbound

This paper cites an unresolved cited work.

Zeros of linear combinations of orthogonal polynomials Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:53:04.409769Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f54eeefa-b08b-47ba-9628-f127c5f89a30 · outbound

This paper cites Beardon, K.A.

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

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-15T20:53:03.856004Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c0c9c260-9a26-45e1-9611-f916a3442fb5 · 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 orthogonal polynomials Br¨ and´ en, On operators on polynomials preserving real-rootedness and the Neggers-Stanley conjecture, J

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-15T20:53:03.860723Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0a6aa5b4-80bb-47cf-b5fa-731e794ca6e2 · 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 orthogonal polynomials Deift, Orthogonal Polynomials and Random Matrices: a Riemann-Hilbert approach, in: Courant Lecture Notes in Mathematics, vol

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-15T20:53:03.865665Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 28637637-6031-4cf0-9941-40495ef9b036 · outbound

This paper cites Driver, K.

Zeros of linear combinations of orthogonal polynomials Driver, K

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-15T20:53:03.870358Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6f7f4180-0738-478e-91c5-338c61ac7775 · outbound

This paper cites Dur´ an, Zeros of linear combinations of Hermite pol ynomials.

Zeros of linear combinations of orthogonal polynomials Dur´ an, Zeros of linear combinations of Hermite pol ynomials

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:53:04.358998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 54f3780a-6086-426f-b8b8-65cb3d74a2e9 · outbound

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

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

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-15T20:53:03.879730Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b16efd91-8d0c-4830-a049-882cca57ceeb · outbound

This paper cites Erd´ elyi, W.

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

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:53:04.335276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b8b86210-f79b-4b39-ac94-83fd68aa5f33 · outbound

This paper cites Erd¨ os and P.

Zeros of linear combinations of orthogonal polynomials Erd¨ os and P

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:53:04.320558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c305c9c3-2de5-42fa-9b89-21c1ca9eaea3 · outbound

This paper cites Fejer, Mechanische Quadraturen mit positiven Cotes schen Zahlen, Math.

Zeros of linear combinations of orthogonal polynomials Fejer, Mechanische Quadraturen mit positiven Cotes schen Zahlen, Math

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:53:04.306086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 0b59034b-71cd-4c39-9b79-2f6ca298043c · outbound

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

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

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:53:04.291477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9e2802eb-9389-43b0-a45a-1d0b86fe5173 · outbound

This paper cites Iserles and S.P.

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

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-15T20:53:03.903262Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1f2e4d3c-0b47-4d9b-941c-8c074c2fe452 · outbound

This paper cites Iserles, S.P.

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

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-15T20:53:03.908190Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e64048ec-d958-41f3-afce-10ccf1ce3529 · outbound

This paper cites Iserles and E.

Zeros of linear combinations of orthogonal polynomials Iserles and E

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:53:04.257689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 4db60930-9540-4e91-bf54-04e29ce42ccd · outbound

This paper cites Ismail and X.

Zeros of linear combinations of orthogonal polynomials Ismail and X

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:53:04.243196Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 092eb459-00f3-485a-adaa-8605a5937e28 · outbound

This paper cites Koekoek, P.

Zeros of linear combinations of orthogonal polynomials Koekoek, P

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-15T20:53:03.921628Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 02c12c29-73a5-4835-bf5d-14bd48738134 · outbound

This paper cites Koelink, P.

Zeros of linear combinations of orthogonal polynomials Koelink, P

Reference 17

Resolution: malformed identifier; no resolver link, observed 2026-08-15T20:53:03.926249Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cff5b7aa-13ee-4367-9710-2d28fb3c5640 · outbound

This paper cites Kuijlaars and W.

Zeros of linear combinations of orthogonal polynomials Kuijlaars and W

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:53:04.218201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 42d5dfc2-d5b7-4ec4-82a7-cb2a6117baa6 · outbound

This paper cites Olver, D.W.

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

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-15T20:53:03.935089Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c8960b17-934c-4d80-b438-ea8da0d4286a · outbound

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

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

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-15T20:53:03.939331Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ab26e501-c5de-493f-984e-aebb18b6d603 · outbound

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

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

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-15T20:53:03.944003Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation da9b5947-0ba9-47cf-9646-cb58fb384488 · outbound

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

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

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-15T20:53:03.948338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0a0cf078-91e2-4cbc-90fc-38a7d049bd7c · outbound

This paper cites Szeg¨ o, Orthogonal Polynomials.

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

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-15T20:53:03.952884Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 00373e16-d1c7-4fdf-a1a7-5b0b3267600d · inbound

An evolution of matrix-valued orthogonal polynomials cites this paper.

An evolution of matrix-valued orthogonal polynomials Zeros of linear combinations of orthogonal polynomials

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-12T11:21:45.336450Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Zeros of linear combinations of Hermite polynomials cites this paper.

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 800e9537-8105-4ac9-8345-99a1ff091b8d · inbound

Zeros of linear combinations of Laguerre polynomials cites this paper.

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 ab81154d-27b8-4375-a1fb-e9ab1270df2d · inbound

Quasi-Orthogonal Polynomials and Exceptional Sequences cites this paper.

Quasi-Orthogonal Polynomials and Exceptional Sequences Zeros of linear combinations of orthogonal polynomials

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-07-02T16:07:09.366148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.