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On hypergeometric functions and Pochhammer $k$-symbol | Rafael Diaz
; Eddy Pariguan
; | Date: |
31 May 2004 | Subject: | Classical Analysis and ODEs | math.CA hep-th quant-ph | Abstract: | We introduce the $k$-generalized gamma function $Gamma_k$, beta function $B_k$, 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 $Gamma_k$ and $B_k$ functions. | Source: | arXiv, math.CA/0405596 | Services: | Forum | Review | PDF | Favorites |
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