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On aq-analogue of the multiple gamma functions

✍ Scribed by Michitomo Nishizawa

Publisher
Springer
Year
1996
Tongue
English
Weight
259 KB
Volume
37
Category
Article
ISSN
0377-9017

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✦ Synopsis

A q-analogue of the multiple gamma functions is introduced and is shown to satisfy the generalized Bohr-Morellup theorem. Furthermore, we give some expressions of these functions.

Mathematics Subject Classifications (1991). 33D05, 81R50.

πŸ“œ SIMILAR VOLUMES

On Barnes' Multiple Zeta and Gamma Funct
On Barnes' Multiple Zeta and Gamma Functions
✍ S.N.M. Ruijsenaars πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 215 KB

We show how various known results concerning the Barnes multiple zeta and gamma functions can be obtained as specializations of simple features shared by a quite extensive class of functions. The pertinent functions involve Laplace transforms, and their asymptotics is obtained by exploiting this. We