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Paper Citation Record · LEDGER

A note on degenerate Euler and Bernoulli polynomials of complex variable

As of 17 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 1 inbound Pith citation observation for arXiv:1908.03783.

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

pith.paper-citation-record.v1
1908.03783 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:11:33.645101Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T10:37:50.277113Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T10:37:50.373048Z

Reference resolution

20 of 20 outbound references displayed

  • verified exact0
  • verified fuzzy8
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 67976068-0ab9-4537-916c-24aeb07264f1 · outbound

This paper cites Carlitz, Degenerate Stirling, Bernoulli and Eulerian numbers, Utilitas Math.

A note on degenerate Euler and Bernoulli polynomials of complex variable Carlitz, Degenerate Stirling, Bernoulli and Eulerian numbers, Utilitas Math

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-14T14:11:33.354289Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:11:33.354289Z digest=sha256:a9c7ffcec0a46979a0e6ace518c7d80c426713a5f595fc671c6f3aac1806bd09

Observation 5e46f74d-3b9e-4f5d-8ef9-7ae6c657840f · outbound

This paper cites Carlitz, A degenerate Staud-Clausen theorem, Arch.

A note on degenerate Euler and Bernoulli polynomials of complex variable Carlitz, A degenerate Staud-Clausen theorem, Arch

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:11:34.794569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:11:33.365640Z digest=sha256:cd0199069ff8450c83b47b3215d0d35aca5544cca02f9596d05179416adcb0be

Observation 6ff92819-d932-4c03-a524-363f0146ec3a · outbound

This paper cites an unresolved cited work.

A note on degenerate Euler and Bernoulli polynomials of complex variable Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-14T14:11:33.378500Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:11:33.378500Z digest=sha256:a82fe7f7396410793efde1f0be42b38c50ef12ff906ccc19f2a6b37835dfaa78

Observation f2d6b209-2581-4059-96d9-d635ebf4c3c3 · outbound

This paper cites Haroon, W.

A note on degenerate Euler and Bernoulli polynomials of complex variable Haroon, W

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:11:34.700376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:11:33.393762Z digest=sha256:f767797709a742d209d4833a90c6a66af9ae17fe620dca9329b70d16d50015e9

Observation 887c3ebf-c04d-48b0-b8ed-ea7b86c20064 · outbound

This paper cites an unresolved cited work.

A note on degenerate Euler and Bernoulli polynomials of complex variable Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:11:34.642217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:11:33.412225Z digest=sha256:703ac814ba2963e3bf95b52e697c0dfda22558e510fdab9cc9169d4bcdfa9144

Observation f88abed5-3508-4a53-b59e-0ed4ed0645a9 · outbound

This paper cites an unresolved cited work.

A note on degenerate Euler and Bernoulli polynomials of complex variable Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:11:34.545921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:11:33.429937Z digest=sha256:fb1a949b5a3664d2316ee9b7db9ff4035ca5b1b73cd7f51bbc9c8f6a441f4ea1

Observation bef6c383-1607-4276-8180-b96364880e5e · outbound

This paper cites Kim, G.-W.

A note on degenerate Euler and Bernoulli polynomials of complex variable Kim, G.-W

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:11:34.479270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:11:33.447323Z digest=sha256:26a8f6d9ccaaee97771bc74fa393342e083c33b359002f4d1a7039b0beb20ef0

Observation 80a9d2f0-87b8-41d2-81dd-33cfdf684219 · outbound

This paper cites an unresolved cited work.

A note on degenerate Euler and Bernoulli polynomials of complex variable Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:11:34.432893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:11:33.457140Z digest=sha256:9ac0437912c76226c67fd65ccbfcc94ad956ffe1a0cabcb348fc81611d28d38d

Observation 75ef8f9d-1201-41f4-a9ad-4a0c9675913c · outbound

This paper cites Kim, A note on degenerate Stirling polynomials of the second kind , Proc.

A note on degenerate Euler and Bernoulli polynomials of complex variable Kim, A note on degenerate Stirling polynomials of the second kind , Proc

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-14T14:11:33.480291Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:11:33.480291Z digest=sha256:605c928f77cdaf9beb20772669a48cdb4ae4745a6e3bc2eb80121de688145fd9

Observation 55ea6313-38e0-4ef6-8db4-31464ed5e242 · outbound

This paper cites an unresolved cited work.

A note on degenerate Euler and Bernoulli polynomials of complex variable Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:11:34.350086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:11:33.487138Z digest=sha256:dbd4c9d65c1806fb7fb6a906f6f474cc211131124e3b04816127d6fec93fc086

Observation 1f2c1e9a-0e16-4e61-9263-5e88fe1d91cc · outbound

This paper cites an unresolved cited work.

A note on degenerate Euler and Bernoulli polynomials of complex variable Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:11:34.306546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:11:33.498141Z digest=sha256:b0f0203f866b26875a15224082879376ccb2a7dde1cc915b0c3b3795a1c99e5a

Observation 16898b27-566d-4d2c-a83f-b5aed73a3c27 · outbound

This paper cites an unresolved cited work.

A note on degenerate Euler and Bernoulli polynomials of complex variable Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:11:34.280647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:11:33.514656Z digest=sha256:96a744606ea42c498a82e9c119c578f14635a7e168bab77277813a714c8ec6ec

Observation f1bf5263-ae88-4589-b749-556c1626fe3f · outbound

This paper cites an unresolved cited work.

A note on degenerate Euler and Bernoulli polynomials of complex variable Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:11:34.246814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:11:33.521270Z digest=sha256:14a8d671aeb9bcef361675c0149a787ceee03f0bd90a09a05ef2fcce3c4cc7af

Observation a58a8a5b-0d09-47bd-9909-9f8a61d45938 · outbound

This paper cites an unresolved cited work.

A note on degenerate Euler and Bernoulli polynomials of complex variable Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:11:34.164980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:11:33.534497Z digest=sha256:bdf49db19f9f153cafa913c8d2bde09e74e0edf94a6d1fcd5fa7dac3657d59e3

Observation 2b4ae570-c64f-4a4b-a486-696969c4973e · outbound

This paper cites Masjed-Jamei, M.

A note on degenerate Euler and Bernoulli polynomials of complex variable Masjed-Jamei, M

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:11:34.141661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:11:33.546117Z digest=sha256:d404e2e6eae386d860931715fd544c85899680c8634096a3631fedbf785e74c0

Observation 85f6b435-e88b-40bd-a4cc-846240f45075 · outbound

This paper cites Masjed-Jamei, M.

A note on degenerate Euler and Bernoulli polynomials of complex variable Masjed-Jamei, M

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:11:34.098547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:11:33.563975Z digest=sha256:da40179a214113cae9d50c8a3c0eb837ad98b6ba1cdc8038cbb29de78146b8c4

Observation 7a6afab3-d71d-465c-8c44-82cc1726c1e1 · outbound

This paper cites Roman, The umbral calculus.

A note on degenerate Euler and Bernoulli polynomials of complex variable Roman, The umbral calculus

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:11:34.016518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:11:33.572168Z digest=sha256:64d2c9c61a5d7cac7126b2b2edb2d8232f4df7cba2323f533b643699e523d786

Observation a4b7a766-6332-4454-bae5-f4b390863b35 · outbound

This paper cites Simsek, Identities on the Changhee numbers and Apostol-type Daehee polynomials, Adv.

A note on degenerate Euler and Bernoulli polynomials of complex variable Simsek, Identities on the Changhee numbers and Apostol-type Daehee polynomials, Adv

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:11:33.786431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:11:33.582651Z digest=sha256:9936385b7cb573edd8e1ba113c51600ab586d55fe6db1a6a4f72ce1f67801f21

Observation db2b13d3-ff7c-4efc-8535-a770d42dcbc1 · outbound

This paper cites Zhang, J.

A note on degenerate Euler and Bernoulli polynomials of complex variable Zhang, J

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:11:33.756154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:11:33.619664Z digest=sha256:c025508ad3df38839030cf647e30641693a3c461ec3a4a70a5c382cbea3beb7d

Observation 339fd608-c2e3-4398-afcd-13c001ca543f · outbound

This paper cites an unresolved cited work.

A note on degenerate Euler and Bernoulli polynomials of complex variable Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:11:33.736342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:11:33.645101Z digest=sha256:eb6b8c35475b9911e365c49b265ec2d664fdc57041c0a1076435a7e84c25d375

Pith citing papers

Observation c612b9b9-0b31-4511-8bed-57a9bd1b1cc6 · inbound

On type 2 degenerate Bernoulli and Euler polynomials of complex variable cites this paper.

On type 2 degenerate Bernoulli and Euler polynomials of complex variable A note on degenerate Euler and Bernoulli polynomials of complex variable

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-14T10:37:50.379925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:37:50.277113Z digest=sha256:a00b95273c75c12d267a7a5547faacae2ad3ec9387a5fb0bfe74a41699ab1ea4