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arXiv:1905.08068 [math.NT]AbstractReferencesReviewsResources

The $q$-multiple gamma functions of Barnes-Milnor type

Hanamichi Kawamura

Published 2019-05-16Version 1

The multiple gamma functions of BM (Barnes-Milnor) type and the $q$-multiple gamma functions have been studied independently. In this paper, we introduce a new generalization of the multiple gamma functions called the $q$-BM multiple gamma function including those functions and prove some properties the BM multiple gamma functions satisfy for them.

Categories: math.NT
Subjects: 33B15, 33D05
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