Stirling's Series Revisited

Abstract

A concise and elementary derivation of the complete asymptotic expansion for the factorial function $n!$ is presented. This treatment produces a new expression for the coefficients, and it brings to light the simple relationship between the asymptotic expansions of $n!$ and $1/n!$.

References in corpus (1)

• Stirling's formula derived simply

Cited by in corpus (2)

• Introduction to 1-summability and resurgence
• Bounds for the counting function of the Jordan-Pólya numbers