The $q$-multiple gamma functions of Barnes-Milnor type
Number Theory
2019-05-21 v1
Abstract
The multiple gamma functions of BM (Barnes-Milnor) type and the -multiple gamma functions have been studied independently. In this paper, we introduce a new generalization of the multiple gamma functions called the -BM multiple gamma function including those functions and prove some properties the BM multiple gamma functions satisfy for them.
Cite
@article{arxiv.1905.08068,
title = {The $q$-multiple gamma functions of Barnes-Milnor type},
author = {Hanamichi Kawamura},
journal= {arXiv preprint arXiv:1905.08068},
year = {2019}
}