Author |
Michitomo Nishizawa |
Journal |
Rocky Mount. J. Math. 32 (2003), 793-811 | Abstract |
Vigneras' Multiple Gamma Function is introduced as a function satisfying a generalization of the Bohr-Mollerup theorem. An Infinite product representation and an asymptotic expansion of the function are given. Furthermore its q- and elliptic analogue are introduced as relevant with the defining relations of q-gamma function and elliptic gamma function. |
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Cited by: |
G. Gasper and M. Rahman,
Basic Hypergeometric Series (2nd edition),
Cambridge Univ. Press
M. Nishizawa,
Infinite ptoduct Representations for Multiple Gamma Function,
Preprint,
mathCA/0404077.