Multiple gamma functions and multiple q-gamma functions

被引：10

作者：

Ueno, K ^{[1
]}

Nishizawa, M ^{[1
]}

机构：

[1] Waseda Univ, Sch Sci & Engn, Dept Math, Tokyo 169, Japan

来源：

PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES | 1997年 / 33卷 / 05期

关键词：

D O I：

10.2977/prims/1195145019

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give an asymptotic expansion (the higher Stirling formula) and an infinite product representation (the Weierstrass canonical product representation) of the Vigneras multiple gamma functions by considering the classical limit of the multiple q-gamma functions.

引用

页码：813 / 838

页数：26

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