A combinatorial identity involving gamma function and Pochhammer symbol

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摘要

In this paper we establish an identity that relates Pochhammer symbol and the ratio of gamma functions. The identity is derived using the Mellin series representation for the solution of a general algebraic equation.

论文关键词：Gamma function,Identity,Ratio of gamma functions,Mellin series,Integer partitions,Maclaurin series

论文评审过程：Available online 2 February 2015.

论文官网地址：https://doi.org/10.1016/j.amc.2015.01.008