Asymptotic Expansions for the multiple gamma functions of Barnes-Milnor type
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- May 2019
- DOI:
- 10.48550/arXiv.1906.00344
- arXiv:
- arXiv:1906.00344
- Bibcode:
- 2019arXiv190600344K
- Keywords:
-
- Mathematics - Number Theory;
- 33B15