The multiple gamma function and its q-analogue

Volume 40 / 1997

Kimio Ueno, Michitomo Nishizawa Banach Center Publications 40 (1997), 429-441 DOI: 10.4064/-40-1-429-441


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.


  • Kimio Ueno
  • Michitomo Nishizawa

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