Sur la fonction q-Gamma de Jackson

 

Changgui Zhang
Université de La Rochelle
Avenue Marillac
17042 La Rochelle Cedex
France

 

Abstract:

Following a paper of R. Remmert for Gamma function, we show how to obtain an integral representation for the inverse of Jackson's q-Gamma function. We study also a new q-analog of the Gamma function that has a divergent asymptotic expansion.

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Key words: q-Gamma function, Wielandt's Theorem, Asymptotic expansion, Jacobi's series.
Mathematics Subject Classification (1991): 39A13, 39B32.