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The multiple gamma function and its q-analogue

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 formula) of the Vignéras multiple gamma function by considering the classical limit of the multiple q-gamma function.

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Kimio Ueno, Michitomo Nishizawa. 1996-02-27. The multiple gamma function and its q-analogue. https://arxiv.org/abs/q-alg/9602033

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