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The multiple gamma functions and the multiple q-gamma functions

Kimio Ueno·Michitomo Nishizawa
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Abstract

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

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Kimio Ueno, Michitomo Nishizawa. 1996-05-16. The multiple gamma functions and the multiple q-gamma functions. https://arxiv.org/abs/q-alg/9605002

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