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q,k-generalized gamma and beta functions

Rafael Diaz·Carolina Teruel
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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 $B_{q,k}.$

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Rafael Diaz, Carolina Teruel. 2004-05-21. q,k-generalized gamma and beta functions. https://doi.org/10.2991/jnmp.2005.12.1.10

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