q,k-generalized gamma and beta functions

Details q,k-generalized gamma and beta functions q,k-generalized gamma and beta functions

2004-05-21

arxiv.org/abs/math/0405402v2

J.Nonlin.Math.Phys. 12 (2005) 118-134

Mathematics

Quantum Algebra

17 pages

Scientific paper

We introduce the q,k-generalized Pochhammer symbol. We construct
$\Gamma_{q,k}$ and $B_{q,k}$, the q,k-generalized gamma and beta fuctions, and
show that they satisfy properties that generalize those satisfied by the
classical gamma and beta functions. Moreover, we provide integral
representations for $\Gamma_{q,k}$ and $B_{q,k}.$

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