On integral representations of q-gamma and q-beta functions

Details On integral representations of q-gamma and q-beta functions On integral representations of q-gamma and q-beta functions

2003-02-04

arxiv.org/abs/math/0302032v1

Mathematics

Quantum Algebra

16 pages

Scientific paper

We study q-integral representations of the q-gamma and the q-beta functions.
This study leads to a very interesting q-constant. As an application of these
integral representations, we obtain a simple conceptual proof of a family of
identities for Jacobi triple product, including Jacobi's identity, and of
Ramanujan's formula for the bilateral hypergeometric series.

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