On the asymptotic expansion of a ratio of gamma functions
- 1 May 2012
- journal article
- Published by Elsevier BV in Journal of Mathematical Analysis and Applications
- Vol. 389 (2), 833-837
- https://doi.org/10.1016/j.jmaa.2011.12.025
Abstract
We study the problem of the asymptotic expansion of the ratio of two gamma functions Γ(x+α)/Γ(x+β) as x→ + ∞, α, β ≥ 0. In particular, an alternate asymptotic formula with respect to the ones known in literature is givenKeywords
This publication has 2 references indexed in Scilit:
- Product Approximations via Asymptotic IntegrationThe American Mathematical Monthly, 2010
- The asymptotic expansion of a ratio of gamma functionsPacific Journal of Mathematics, 1951