Paper Citation Record · LEDGER

Log-convexity and log-concavity of noncentral gamma sums and differences

As of 17 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2607.09499.

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

pith.paper-citation-record.v1
2607.09499 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-13T02:35:57.683233Z

measured 31 of 31 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 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

31 of 31 outbound references displayed

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unresolved31
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External citation measurements

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Outbound references

Observation f0df68ab-74ef-4e06-8fae-7a0237dfdfc8 · outbound

This paper cites an unresolved cited work.

Log-convexity and log-concavity of noncentral gamma sums and differences Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-13T02:35:57.683233Z

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Unavailable: canonical work link unavailable.

Observation f82641dd-27c3-4438-a660-0ecf4d78fc91 · outbound

This paper cites and Bergstrom, T.

Log-convexity and log-concavity of noncentral gamma sums and differences and Bergstrom, T

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-13T02:35:57.683233Z

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Observation f3e1ebb5-5cb5-4d5e-9a3a-7d126ce3430b · outbound

This paper cites and Vuorinen, M.

Log-convexity and log-concavity of noncentral gamma sums and differences and Vuorinen, M

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-13T02:35:57.683233Z

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Observation 888776de-486a-459b-a011-856432129082 · outbound

This paper cites and L´ opez-Bl´ azquez, F.

Log-convexity and log-concavity of noncentral gamma sums and differences and L´ opez-Bl´ azquez, F

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-13T02:35:57.683233Z

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Observation 947badf0-c672-497a-9438-b02d4b94abe1 · outbound

This paper cites an unresolved cited work.

Log-convexity and log-concavity of noncentral gamma sums and differences Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-13T02:35:57.683233Z

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This paper cites and Kong, L.

Log-convexity and log-concavity of noncentral gamma sums and differences and Kong, L

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-13T02:35:57.683233Z

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Observation cbca5d0d-253f-4049-8644-979efcd1dffb · outbound

This paper cites and Whitt, W.

Log-convexity and log-concavity of noncentral gamma sums and differences and Whitt, W

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-13T02:35:57.683233Z

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Observation cd5af7ac-e762-4e8b-ae89-dc70d157da9c · outbound

This paper cites an unresolved cited work.

Log-convexity and log-concavity of noncentral gamma sums and differences Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-13T02:35:57.683233Z

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Observation 8d458bbb-7764-43e9-a6ad-404c7a2a1240 · outbound

This paper cites an unresolved cited work.

Log-convexity and log-concavity of noncentral gamma sums and differences Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-13T02:35:57.683233Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 56c33d06-98c1-4cce-9f94-21740f672c50 · outbound

This paper cites an unresolved cited work.

Log-convexity and log-concavity of noncentral gamma sums and differences Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-13T02:35:57.683233Z

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This paper cites an unresolved cited work.

Log-convexity and log-concavity of noncentral gamma sums and differences Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-13T02:35:57.683233Z

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Observation d5986277-09e6-4d9f-9082-dd57e6a4f657 · outbound

This paper cites E., Nadarajah, S.

Log-convexity and log-concavity of noncentral gamma sums and differences E., Nadarajah, S

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-13T02:35:57.683233Z

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Observation 0e251785-850f-4998-8bbd-24e1b579c8ed · outbound

This paper cites The non-central gamma sum and difference distributions: exact distribution and asymptotic expansions.

Log-convexity and log-concavity of noncentral gamma sums and differences The non-central gamma sum and difference distributions: exact distribution and asymptotic expansions

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-13T02:35:57.683233Z

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Observation 465b1a28-7b55-4f8f-967c-5171e89d3c3d · outbound

This paper cites an unresolved cited work.

Log-convexity and log-concavity of noncentral gamma sums and differences Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-13T02:35:57.683233Z

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This paper cites and Pog´ any, T.

Log-convexity and log-concavity of noncentral gamma sums and differences and Pog´ any, T

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-13T02:35:57.683233Z

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Observation a3020fbb-156d-49eb-a62f-bfcfaa815b08 · outbound

This paper cites and Alouini, M.-S.

Log-convexity and log-concavity of noncentral gamma sums and differences and Alouini, M.-S

Reference 16

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Observation a09a9fe4-4c9b-4a9e-9ce5-ceef09868342 · outbound

This paper cites an unresolved cited work.

Log-convexity and log-concavity of noncentral gamma sums and differences Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-13T02:35:57.683233Z

Source-reported events for the cited work

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Observation 7f591772-ec51-4297-8eef-d179a0558149 · outbound

This paper cites A note on gamma difference distributions.J.

Log-convexity and log-concavity of noncentral gamma sums and differences A note on gamma difference distributions.J

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-13T02:35:57.683233Z

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Observation 792b5d40-98ff-414b-990d-fe9728e755ba · outbound

This paper cites an unresolved cited work.

Log-convexity and log-concavity of noncentral gamma sums and differences Unresolved cited work

Reference 19

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Log-convexity and log-concavity of noncentral gamma sums and differences and Bablok, B

Reference 20

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This paper cites an unresolved cited work.

Log-convexity and log-concavity of noncentral gamma sums and differences Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-13T02:35:57.683233Z

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Observation 9a87bc4d-97c8-4cc8-a6da-312ab258393f · outbound

This paper cites an unresolved cited work.

Log-convexity and log-concavity of noncentral gamma sums and differences Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-13T02:35:57.683233Z

Source-reported events for the cited work

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Observation 639490c9-e898-448a-91d1-3efa950a8ac4 · outbound

This paper cites an unresolved cited work.

Log-convexity and log-concavity of noncentral gamma sums and differences Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-13T02:35:57.683233Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d707bfdb-a4e2-46ce-ac9b-f7e96429b252 · outbound

This paper cites and Pog´ any, T.

Log-convexity and log-concavity of noncentral gamma sums and differences and Pog´ any, T

Reference 24

Resolution: unresolved; no resolver link, observed 2026-07-13T02:35:57.683233Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 188d7c63-1ad9-40bc-9d9e-3e7007d94fbc · outbound

This paper cites an unresolved cited work.

Log-convexity and log-concavity of noncentral gamma sums and differences Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-07-13T02:35:57.683233Z

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Observation d4a7bc12-607c-4de5-a968-21d3b215b992 · outbound

This paper cites an unresolved cited work.

Log-convexity and log-concavity of noncentral gamma sums and differences Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-07-13T02:35:57.683233Z

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Unavailable: canonical work link unavailable.

Observation 366122bc-2bdd-4926-8a2e-01d54f8b4607 · outbound

This paper cites On logarithmic concave measures and functions.Acta Sci.

Log-convexity and log-concavity of noncentral gamma sums and differences On logarithmic concave measures and functions.Acta Sci

Reference 27

Resolution: unresolved; no resolver link, observed 2026-07-13T02:35:57.683233Z

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Observation 047ecc16-f981-404d-83b1-c2cc91560153 · outbound

This paper cites and Shanthikumar, J.

Log-convexity and log-concavity of noncentral gamma sums and differences and Shanthikumar, J

Reference 28

Resolution: unresolved; no resolver link, observed 2026-07-13T02:35:57.683233Z

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Observation 987716b7-72fe-48e0-a7e9-c53f4468cf3c · outbound

This paper cites and Bartlett, M.

Log-convexity and log-concavity of noncentral gamma sums and differences and Bartlett, M

Reference 29

Resolution: unresolved; no resolver link, observed 2026-07-13T02:35:57.683233Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eb75335d-e329-4139-bb9c-912bee9df5cc · outbound

This paper cites The Shape of the Noncentral Chi-square Density.

Log-convexity and log-concavity of noncentral gamma sums and differences The Shape of the Noncentral Chi-square Density

Reference 30

Resolution: unresolved; no resolver link, observed 2026-07-13T02:35:57.683233Z

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Observation e82ea3f0-c183-4f68-bfca-a30db46a5fb9 · outbound

This paper cites On normal variance-mean mixtures.Statist.

Log-convexity and log-concavity of noncentral gamma sums and differences On normal variance-mean mixtures.Statist

Reference 31

Resolution: unresolved; no resolver link, observed 2026-07-13T02:35:57.683233Z

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