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Added by Arxiv Bot | Added: 2026-03-02 18:01 | Views: 1 | Source: arXiv Dataset IDs (Model)

The multiple gamma functions and the multiple q-gamma functions

Authors	Kimio Ueno, Michitomo Nishizawa
Categories	q-alg math.QA
ArXiv ID	q-alg/9605002
URL	https://arxiv.org/abs/q-alg/9605002

Abstract

We give an asymptotic expansion (the higher Stirling formula) and an infinite product representation (the Weierstrass product representation) of the Vign\'{e}ras multiple gamma functions by considering the classical limit of the multiple q-gamma functions.

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    "abstract": "We give an asymptotic expansion (the higher Stirling formula) and an infinite\nproduct representation (the Weierstrass product representation) of the\nVign\\\u0027{e}ras multiple gamma functions by considering the classical limit of the\nmultiple q-gamma functions.",
    "arxiv_id": "q-alg/9605002",
    "authors": [
      "Kimio Ueno",
      "Michitomo Nishizawa"
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    "title": "The multiple gamma functions and the multiple q-gamma functions",
    "url": "https://arxiv.org/abs/q-alg/9605002"
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