Timeline for Analytic continuation of Dixon's identity
Current License: CC BY-SA 4.0
6 events
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| Aug 19, 2023 at 4:33 | history | edited | Pluviophile | CC BY-SA 4.0 |
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| Aug 15, 2023 at 22:12 | history | edited | Pluviophile | CC BY-SA 4.0 |
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| Aug 15, 2023 at 14:50 | comment | added | ho boon suan | The identity you found is a special case of Dixon’s Well-Poised Sum (DLMF 16.4.4), where $a=b=c=-z$; see dlmf.nist.gov/16.4#E4 | |
| Aug 15, 2023 at 14:41 | comment | added | Abdelmalek Abdesselam | Also, you can find a very elementary proof of the finite sum Dixon identity in my article arxiv.org/abs/1903.11147 | |
| Aug 15, 2023 at 14:39 | comment | added | Abdelmalek Abdesselam | There is a very rich theory of generalized ${}_pF_q$ hypergeometric series and identities they satisfy. In the terminating case (the parameters are such that the series is a finite sum) you get the combinatorial binomial sum identities. See en.wikipedia.org/wiki/Dixon%27s_identity and en.wikipedia.org/wiki/… | |
| Aug 15, 2023 at 13:57 | history | asked | Pluviophile | CC BY-SA 4.0 |