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The $q$-multiple gamma functions of Barnes-Milnor type
Published 16 May 2019 in math.NT | (1905.08068v1)
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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