On hypergeometric functions and Pochhammer k-symbol
Rafael Diaz, Eddy Pariguan
Abstract
We introduce the k-generalized gamma function Γk, beta function Bk, and Pochhammer k-symbol (x)n,k. We prove several identities generalizing those satisfied by the classical gamma function, beta function and Pochhammer symbol. We provided integral representation for the Γk and Bk functions.
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