Rafael Díaz, Eddy Pariguán
Abstract
We introduce the k-generalized gamma function ik, beta function Bk and Pochhammer k-symbol (x)n;k. We prove several identities generalizing those satisfled by the classical gamma function, beta function and Pochhammer symbol. We provide integral representation for the ik and Bk functions.
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We introduce the k-generalized gamma function ik, beta function Bk and Pochhammer k-symbol (x)n;k. We prove several identities generalizing those satisfled by the classical gamma function, beta function and Pochhammer symbol. We provide integral representation for the ik and Bk functions.
Key concepts: Mathematics, Symbol (formal), Gamma function, Hypergeometric function, Function (biology), Pure mathematics, Representation (politics), Generalized hypergeometric function