Certain image formulas of generalized hypergeometric functions
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摘要
We aim at establishing certain new image formulas of generalized hypergeometric functions by applying the operators of fractional derivative involving Appell’s function F3(.) due to Saigo–Maeda. Furthermore, by employing some integral transforms on the resulting formulas, we presented some more image formulas. All the results derived here are of general character and can yield a number of (known and new) results in the theory of special functions.
论文关键词：Beta function,Generalized beta function,Generalized Gauss hypergeometric function,Generalized confluent hypergeometric function,Fractional derivative operators,Integral transforms
论文评审过程：Received 2 February 2015, Revised 11 May 2015, Accepted 24 May 2015, Available online 18 June 2015, Version of Record 18 June 2015.
论文官网地址：https://doi.org/10.1016/j.amc.2015.05.101
