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arXiv · 1905.08068

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

Hanamichi Kawamura
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Abstract

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.

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Hanamichi Kawamura. 2019-05-16. The $q$-multiple gamma functions of Barnes-Milnor type. https://arxiv.org/abs/1905.08068

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