Certain image formulas of generalized hypergeometric functions

Praveen Agarwal, Mehar Chand and Erkinjon Tulkinovich Karimov

Applied Mathematics and Computation, 2015, vol. 266, issue C, 763-772

Abstract: 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.

Keywords: Beta function; Generalized beta function; Generalized Gauss hypergeometric function; Generalized confluent hypergeometric function; Fractional derivative operators; Integral transforms (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:266:y:2015:i:c:p:763-772

DOI: 10.1016/j.amc.2015.05.101

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