A class of generalized gamma functions
| dc.creator | Jurzak, Jean-Paul | |
| dc.date | 2002-02-26 | |
| dc.date.accessioned | 2026-07-07T04:46:41Z | |
| dc.date.available | 2026-07-07T04:46:41Z | |
| dc.description | In this paper, we study the holomorphic function defined by the infinite product $Γ_{a,r}(s) =\prod_{n \geq 0} (1 + \frac{1}{a+ nr})^s (1 + \frac{s}{a+nr})^{-1}$ which generalize Euler's definition in the sense that $Γ(s) = \frac{Γ_{1,1}(s)}{s}$. We obtain analogues of the Gauss multiplication formula, complement formula for functions $Γ_{a,r}(s)$. | |
| dc.description | LaTeX file. 9 pages | |
| dc.identifier | https://arxiv.org/abs/math/0202270 | |
| dc.identifier | http://arxiv.org/abs/math/0202270 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63435 | |
| dc.subject | Number Theory | |
| dc.title | A class of generalized gamma functions | |
| dc.type | text |