q,k-generalized gamma and beta functions

Abstract

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 $B_{q,k}.$

17 pages

References in corpus (2)

• On integral representations of q-gamma and q-beta functions
• Symmetric quantum Weyl algebras

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