An Infinite Product for e^gamma via Hypergeometric Formulas for Euler's Constant, gamma
| dc.creator | Sondow, Jonathan | |
| dc.date | 2003-05-31 | |
| dc.date.accessioned | 2026-07-07T04:58:26Z | |
| dc.date.available | 2026-07-07T04:58:26Z | |
| dc.description | We derive hypergeometric formulas for Euler's constant, gamma. A "by-product" of Thomae's transformation is an infinite product for e^gamma involving the binomial coefficients. Alternate, non-hypergeometric proofs use a double integral for gamma, the beta integral, and an integral for the digamma function. (I thank P. Sebah, S. Zlobin, and W. Zudilin for valuable suggestions used in the paper.) | |
| dc.description | 5 pages, 1 figure, submitted for publication | |
| dc.identifier | https://arxiv.org/abs/math/0306008 | |
| dc.identifier | http://arxiv.org/abs/math/0306008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67636 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Number Theory | |
| dc.subject | Primary 33C20; Secondary 11Y60, 33B15 | |
| dc.title | An Infinite Product for e^gamma via Hypergeometric Formulas for Euler's Constant, gamma | |
| dc.type | text |