Asymptotic Expansions for the multiple gamma functions of Barnes-Milnor type
Number Theory
2019-06-04 v1
Abstract
The classical Stirling's formula gives the asymptotic behavior of the gamma function. Katayama and Ohtsuki generalized this formula for Barnes' multiple gamma functions. In this paper, we further generalize these formulas for the multiple gamma functions of BM (Barnes-Milnor) type.
Cite
@article{arxiv.1906.00344,
title = {Asymptotic Expansions for the multiple gamma functions of Barnes-Milnor type},
author = {Hanamichi Kawamura},
journal= {arXiv preprint arXiv:1906.00344},
year = {2019}
}