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Paper Citation Record · LEDGER

On type 2 degenerate Bernoulli and Euler polynomials of complex variable

As of 23 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:1908.11009.

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

pith.paper-citation-record.v1
1908.11009 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T10:37:50.324680Z

measured 18 of 18 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 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

18 of 18 outbound references displayed

  • verified exact1
  • verified fuzzy13
  • unresolved3
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e5e8bd39-5627-44cf-839f-2f4cf016cd3f · outbound

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

On type 2 degenerate Bernoulli and Euler polynomials of complex variable Carlitz, Degenerate Stirling, Bernoulli and Eulerian numbers, Utilitas Math

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-14T10:37:50.240701Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:37:50.240701Z digest=sha256:4ea591ff56e6a638ffa744b1161c87edca06cdda15f13f846ba3a0613332ffdc

Observation 2436f772-f65a-4915-89b6-955783543329 · outbound

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

On type 2 degenerate Bernoulli and Euler polynomials of complex variable Carlitz, A degenerate Staudt-Clausen theorem , Arch

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:37:50.609342Z

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.

source=pdf_text observed=2026-08-14T10:37:50.246460Z digest=sha256:87578cffd96246ff4d48a118f9ca4b186014c626839b7fc42cd07e612f5faeb6

Observation e0183024-4701-4902-a349-41c4fe2a23cc · outbound

This paper cites an unresolved cited work.

On type 2 degenerate Bernoulli and Euler polynomials of complex variable Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T10:37:50.594208Z

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.

source=pdf_text observed=2026-08-14T10:37:50.251512Z digest=sha256:cf6b905039378be36fdc7a9326cab4eb8db6ffba920a8c0300469b2eed3956f5

Observation e334004e-cd07-49c5-a97b-e6951bd1bf5a · outbound

This paper cites Haroon, W.A.

On type 2 degenerate Bernoulli and Euler polynomials of complex variable Haroon, W.A

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:37:50.579496Z

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.

source=pdf_text observed=2026-08-14T10:37:50.256361Z digest=sha256:22b4728c726940bb569b54e7dca49ff5aa48cd520fd5e9a34c79c1c3f534efee

Observation 7480509e-add1-4601-a1b1-0d7d22a43d0d · outbound

This paper cites an unresolved cited work.

On type 2 degenerate Bernoulli and Euler polynomials of complex variable Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T10:37:50.565102Z

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.

source=pdf_text observed=2026-08-14T10:37:50.261600Z digest=sha256:82a326f31e51dacb638f12da9a77c621028d1c5f5c6fdeb5c2cf23197534217a

Observation a0fb6c93-8c9e-41c6-9544-745882a3554e · outbound

This paper cites Jeong, D.-J, Kang, S.-H.

On type 2 degenerate Bernoulli and Euler polynomials of complex variable Jeong, D.-J, Kang, S.-H

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:37:50.550231Z

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.

source=pdf_text observed=2026-08-14T10:37:50.266750Z digest=sha256:4c9e3987be71a1640e542e0fb791aa64ff34602e90eb246b092ab4f115da2ca0

Observation d1303b85-9d67-4371-a312-960f59bebb2f · outbound

This paper cites Kim, H.Y.

On type 2 degenerate Bernoulli and Euler polynomials of complex variable Kim, H.Y

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:37:50.535588Z

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.

source=pdf_text observed=2026-08-14T10:37:50.272239Z digest=sha256:36aaa82677ddfbc57d366b31e953557eb8b18e6357cdb148907da99be87eee22

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

This paper cites A note on degenerate Euler and Bernoulli polynomials of complex variable.

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T10:37:50.277113Z digest=sha256:b8647e494af27be5125bcae40513d63d22fcc85901da1afe22afaa75b2498552

Observation 80da8694-c64b-4214-9d6f-cd26d014aa3d · outbound

This paper cites Kim, D.S.

On type 2 degenerate Bernoulli and Euler polynomials of complex variable Kim, D.S

Reference 9

Resolution
malformed identifier
no resolver link, observed 2026-08-14T10:37:50.282235Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:37:50.282235Z digest=sha256:f0f42bc014083e8823eebc8f0d2a9e59916d55a4cce3df9d268b314ef4a2e379

Observation b2c83b5f-05f1-4838-9e48-3aa62c8c8fe0 · outbound

This paper cites Kim, G.-W.

On type 2 degenerate Bernoulli and Euler polynomials of complex variable Kim, G.-W

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:37:50.520030Z

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.

source=pdf_text observed=2026-08-14T10:37:50.287209Z digest=sha256:4c16af7fb6eac008e6fbbe1080be635126541dff271bb1d1e138dd527305f203

Observation 9a2791a5-c976-4f87-a453-6c93604f50be · outbound

This paper cites Kim, D.S.

On type 2 degenerate Bernoulli and Euler polynomials of complex variable Kim, D.S

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:37:50.504687Z

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.

source=pdf_text observed=2026-08-14T10:37:50.292156Z digest=sha256:9cacd71d315d1d7e6f08a94b55b68e53995944aa73aba5effb392dd87a98fa12

Observation 0b83835f-187c-460f-820c-443d5c7b1a56 · outbound

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

On type 2 degenerate Bernoulli and Euler polynomials of complex variable Kim, A note on degenerate Stirling polynomials of the second kind , Proc

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:37:50.489832Z

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.

source=pdf_text observed=2026-08-14T10:37:50.296937Z digest=sha256:75d827990692711e22b42062e4b2c7c4bc6462c24320811bef7755f2ad776207

Observation e6004f75-6eb3-4928-a22e-a58fd942d074 · outbound

This paper cites Kim, D.S.

On type 2 degenerate Bernoulli and Euler polynomials of complex variable Kim, D.S

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:37:50.474509Z

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.

source=pdf_text observed=2026-08-14T10:37:50.301941Z digest=sha256:9ea5eebaee19acb9b4f7c0d588c28cf725387370ac50912a5795038909c25ca0

Observation 4cce7d4e-c73a-4c51-a9c5-7b80d54ea00a · outbound

This paper cites Kim, C.S.

On type 2 degenerate Bernoulli and Euler polynomials of complex variable Kim, C.S

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:37:50.458127Z

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.

source=pdf_text observed=2026-08-14T10:37:50.306655Z digest=sha256:00f6e3c8deb3bc9016c9439b6a132c4d23c9e3dd46f01e508c6ce1608b5493ad

Observation aed46dc1-4f0b-4dd1-9142-978386e75926 · outbound

This paper cites Masjed-Jamei, M.R.

On type 2 degenerate Bernoulli and Euler polynomials of complex variable Masjed-Jamei, M.R

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:37:50.442984Z

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.

source=pdf_text observed=2026-08-14T10:37:50.311216Z digest=sha256:81ef0abd34d6c57f343a9ab5b573849346560db0f99d2ebccb1aa28c972bd480

Observation e8233921-8770-4cdb-b8e8-e391b19a2e31 · outbound

This paper cites Roman, The umbral calculus.

On type 2 degenerate Bernoulli and Euler polynomials of complex variable Roman, The umbral calculus

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:37:50.427624Z

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.

source=pdf_text observed=2026-08-14T10:37:50.315713Z digest=sha256:ea99f056e7869fa603448c968a499b807f916a28ca881aa64138fa5ec058e012

Observation a5035b39-11df-437a-b72d-44b417ac3279 · outbound

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

On type 2 degenerate Bernoulli and Euler polynomials of complex variable Simsek, Identities on the Changhee numbers and Apostol-type Daehee polynomials, Adv

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:37:50.411660Z

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.

source=pdf_text observed=2026-08-14T10:37:50.320090Z digest=sha256:f7830d39134988bb8c8cdee9d1097472fdbc20f697aeaefcfe37f0f6ed766ca9

Observation adfa1cad-f629-49c7-a2a8-a87cf3420fc5 · outbound

This paper cites Zhang, X.

On type 2 degenerate Bernoulli and Euler polynomials of complex variable Zhang, X

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:37:50.396081Z

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.

source=pdf_text observed=2026-08-14T10:37:50.324680Z digest=sha256:7572534c32e044e4fad052f0fb22503347517b060b964a63baa6642886884cce

Pith citing papers

No inbound Pith citation observations are available.