On hypergeometric functions and Pochhammer $k$-symbol

Rafael Diaz; Eddy Pariguan

On hypergeometric functions and Pochhammer $k$-symbol

经典分析与常微分方程 2008-03-13 v2 高能物理 - 理论量子物理

作者: Rafael Diaz , Eddy Pariguan

摘要

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.

关键词

hypergeometric functions

引用

@article{arxiv.math/0405596,
  title  = {On hypergeometric functions and Pochhammer $k$-symbol},
  author = {Rafael Diaz and Eddy Pariguan},
  journal= {arXiv preprint arXiv:math/0405596},
  year   = {2008}
}

备注

12 pages, 3 figures

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