Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T15:18:01.443342Z
Paper Citation Record · LEDGER
Euler and the Gammafunction
As of 16 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:1908.01571.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
29 of 29 outbound references displayed
- verified exact0
- verified fuzzy16
- unresolved12
- parse uncertain0
- malformed identifier0
- metadata mismatch1
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 7b515a5f-170f-444a-b0ca-39c422f56af4 · outbound
This paper cites one will have the ordinates y··· 1, 1, 2, 6, 24, 120, 720 etc.
Euler and the Gammafunction one will have the ordinates y··· 1, 1, 2, 6, 24, 120, 720 etc
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:18:02.109068Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 043ed058-af61-42c8-934c-9d84957d4a37 · outbound
This paper cites hypergeometric.
Euler and the Gammafunction hypergeometric
Reference 2
- Resolution
- metadata mismatch
- raw_fallback, observed 2026-08-14T15:18:01.603712Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation efd82ed5-affb-4f4b-afa7-16e4225bd444 · outbound
This paper cites Questions of this kind first concern the determination of the remaining points of a curve in addition to those which are easily assigned.
Euler and the Gammafunction Questions of this kind first concern the determination of the remaining points of a curve in addition to those which are easily assigned
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:18:02.088518Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b5e14b2e-28ea-4630-a3f4-d0709cec933d · outbound
This paper cites the factors of which must be continued to infinity.
Euler and the Gammafunction the factors of which must be continued to infinity
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:18:02.068610Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f57bd9b0-c5ec-4a70-8616-f473b5f35540 · outbound
This paper cites an unresolved cited work.
Euler and the Gammafunction Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:18:02.049520Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation bae596ad-7ba0-4996-99ab-3f8f86342ebd · outbound
This paper cites are easily derived.
Euler and the Gammafunction are easily derived
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:18:02.031409Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 34ea0075-8e67-4d46-b0ea-feae3898b3ea · outbound
This paper cites an unresolved cited work.
Euler and the Gammafunction Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:18:02.008017Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 4ebf4869-01b8-4544-a60c-c2b0af6e2f07 · outbound
This paper cites − log(1 + x)− log ( 1 + x 2 ) − log ( 1 + x 3 ) − log ( 1 + x 4 ) − etc.
Euler and the Gammafunction − log(1 + x)− log ( 1 + x 2 ) − log ( 1 + x 3 ) − log ( 1 + x 4 ) − etc
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:18:01.990609Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d4349fbf-a121-417c-bfdb-18a20d918828 · outbound
This paper cites an unresolved cited work.
Euler and the Gammafunction Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:18:01.973690Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ed09e9ac-3137-462c-943c-863f793dc4ff · outbound
This paper cites an unresolved cited work.
Euler and the Gammafunction Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:18:01.956597Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 640b843e-bb4a-49cd-932e-787876930c8a · outbound
This paper cites Or, if one prefers the exponential form, it will also be y = ∫ e−vvpdv, extending the integration from v = 0 to v = ∞.
Euler and the Gammafunction Or, if one prefers the exponential form, it will also be y = ∫ e−vvpdv, extending the integration from v = 0 to v = ∞
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:18:01.939167Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5e2d8a64-1473-4983-97f5-6e67ab98663c · outbound
This paper cites y = 1 1 + x ( 2 1 )x · 2 2 + x ( 3 2 )x · 3 3 + x ( 4 3 )x · 4 4 + x ( 5 4 )x · etc.
Euler and the Gammafunction y = 1 1 + x ( 2 1 )x · 2 2 + x ( 3 2 )x · 3 3 + x ( 4 3 )x · 4 4 + x ( 5 4 )x · etc
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:18:01.921329Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 3843fc42-2c7e-4d05-92b2-d893f0116bfb · outbound
This paper cites To this end, formula V seems especially suitable, from which we conclude: dy ydx =−∆ + 1 + 1 2 + 1 3 + 1 4 + etc.
Euler and the Gammafunction To this end, formula V seems especially suitable, from which we conclude: dy ydx =−∆ + 1 + 1 2 + 1 3 + 1 4 + etc
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:18:01.904959Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 88b73bb5-a904-4213-8f70-cb65ae082574 · outbound
This paper cites an unresolved cited work.
Euler and the Gammafunction Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:18:01.887816Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation bd0f7292-de74-4727-a1e3-f61e66d63b15 · outbound
This paper cites Let x = 1 2, it will be y = 1 2 √π and dy ydx =−∆ + 1− 2 3 + 1 2− 2 5 + 1 3− 2 7 + etc.
Euler and the Gammafunction Let x = 1 2, it will be y = 1 2 √π and dy ydx =−∆ + 1− 2 3 + 1 2− 2 5 + 1 3− 2 7 + etc
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:18:01.869813Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation cf4f0983-9740-4a10-b102-3084d676af19 · outbound
This paper cites an unresolved cited work.
Euler and the Gammafunction Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:18:01.850191Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b469ded7-e046-472f-87ed-05d4012c1329 · outbound
This paper cites an unresolved cited work.
Euler and the Gammafunction Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:18:01.827397Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0408efd8-ec87-4caf-881c-ab22475ea677 · outbound
This paper cites Therefore, since according to formula V log q =−∆p + p + 1 2 p + 1 3 p + 1 4 p + etc.
Euler and the Gammafunction Therefore, since according to formula V log q =−∆p + p + 1 2 p + 1 3 p + 1 4 p + etc
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:18:01.810201Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 4aa1196f-fcaf-4b10-a666-2f05bfc7d224 · outbound
This paper cites an unresolved cited work.
Euler and the Gammafunction Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:18:01.792545Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 1c4f875b-740d-468a-b6a7-c66d9336a353 · outbound
This paper cites = P, 1 (1 + p)2 + 1 (2 + p)2 + 1 (3 + p)2 + 1 (4 + p)2 + etc.
Euler and the Gammafunction = P, 1 (1 + p)2 + 1 (2 + p)2 + 1 (3 + p)2 + 1 (4 + p)2 + etc
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:18:01.775020Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation aaf26011-f134-4bd8-ba3c-46a1d493d02c · outbound
This paper cites = 2(1− log 2)− ∆ = 0.03648997397857 Q = 4 32 + 4 52 + 4 72 + 4 92 + etc.
Euler and the Gammafunction = 2(1− log 2)− ∆ = 0.03648997397857 Q = 4 32 + 4 52 + 4 72 + 4 92 + etc
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:18:01.756248Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e713da20-fe20-44ff-9ad6-7fe6c13a2fbb · outbound
This paper cites an unresolved cited work.
Euler and the Gammafunction Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:18:01.736074Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c81371e7-ec41-4d8f-965c-5214ba7e101d · outbound
This paper cites an unresolved cited work.
Euler and the Gammafunction Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:18:01.716663Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 85c5dcaf-aecc-48c5-b489-983ce76a39c6 · outbound
This paper cites an unresolved cited work.
Euler and the Gammafunction Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:18:01.696929Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 05c1da7b-ee95-4d3e-b42a-ccf43f09d71b · outbound
This paper cites an unresolved cited work.
Euler and the Gammafunction Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:18:01.676848Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 62ffdc30-90a7-49ed-ac13-7a0788e8ca78 · outbound
This paper cites Since for smaller exponents x the matter is obvious, I reason as follows, i.e.
Euler and the Gammafunction Since for smaller exponents x the matter is obvious, I reason as follows, i.e
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:18:01.647738Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7cfec8ac-b10e-47f6-8a71-c9db32d1ec70 · outbound
This paper cites ’De progressionibus transcendentibus seu quarum termini generales algebraice dari nequeunt.
Euler and the Gammafunction ’De progressionibus transcendentibus seu quarum termini generales algebraice dari nequeunt
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:18:01.626175Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c77fafa4-446a-4931-b196-5027fa317fa4 · outbound
This paper cites Jacob Bernoulli on the other hand also was a teacher of L’Hospital.
Euler and the Gammafunction Jacob Bernoulli on the other hand also was a teacher of L’Hospital
Reference 1755
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:18:02.130774Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b3b19f54-dea8-44bc-a3a0-6296ee12bc70 · outbound
This paper cites sinus",.
Euler and the Gammafunction sinus",
Reference 1878
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:18:02.148676Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
No inbound Pith citation observations are available.