International Journal of Mathematics and Mathematical Sciences
Volume 24 (2000), Issue 8, Pages 505-510
doi:10.1155/S0161171200010310

An asymptotic expansion for a ratio of products of gamma functions

Wolfgang Bühring

Physikalisches Institut, Universität Heidelberg, Philosophenweg 12, Heidelberg 69120, Germany

Abstract

An asymptotic expansion of a ratio of products of gamma functions is derived. It generalizes a formula which was stated by Dingle, first proved by Paris, and recently reconsidered by Olver