On the coefficients of the asymptotic expansion of n!

Abstract

Applying a theorem of Howard for a formula recently proved by Brassesco and Méndez, we derive new simple explicit formulas for the coefficients of the asymptotic expansion to the sequence of factorials. To our knowledge no explicit formula containing only the four basic operations was known until now.

5 pages

Cited by in corpus (1)

• The Prabhakar or three parameter Mittag--Leffler function: theory and application