Multiple gamma functions and multiple q-gamma functions

Kimio Ueno, Michitomo Nishizawa

    Research output: Contribution to journalArticle

    9 Citations (Scopus)

    Abstract

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

    Original languageEnglish
    Pages (from-to)813-838
    Number of pages26
    JournalPublications of the Research Institute for Mathematical Sciences
    Volume33
    Issue number5
    Publication statusPublished - 1997 Dec

    Fingerprint

    Multiple gamma Function
    Stirling's formula
    Q-gamma Function
    Infinite product
    Classical Limit
    Asymptotic Expansion

    ASJC Scopus subject areas

    • Mathematics(all)

    Cite this

    Multiple gamma functions and multiple q-gamma functions. / Ueno, Kimio; Nishizawa, Michitomo.

    In: Publications of the Research Institute for Mathematical Sciences, Vol. 33, No. 5, 12.1997, p. 813-838.

    Research output: Contribution to journalArticle

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