Extension of gamma, beta and hypergeometric functions
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摘要
The main object of this paper is to present generalizations of gamma, beta and hypergeometric functions. Some recurrence relations, transformation formulas, operation formulas and integral representations are obtained for these new generalizations.
论文关键词：Gamma function,Beta function,Hypergeometric function,Confluent hypergeometric function,Mellin transform
论文评审过程：Received 29 December 2009, Revised 13 April 2010, Available online 13 June 2010.
论文官网地址：https://doi.org/10.1016/j.cam.2010.04.019
