Exact Values of the Gamma Function from Stirling’s Formula

Exact Values of the Gamma Function from Stirling’s Formula

In this work the complete version of Stirling’s formula, which is composed of the standard terms and an infinite asymptotic series, is used to obtain exact values of the logarithm of the gamma function over all branches of the complex plane. Exact values can only be obtained by regularization. Two m...

Full description

Bibliographic Details
Main Author: Victor Kowalenko
Format: Article
Language:English
Published: MDPI AG 2020-07-01
Series:Mathematics
Subjects:
asymptotic series
asymptotic form
Borel summation
complete asymptotic expansion
divergent series
domain of convergence
Online Access:https://www.mdpi.com/2227-7390/8/7/1058

Internet

https://www.mdpi.com/2227-7390/8/7/1058

Similar Items