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http://dx.doi.org/10.4134/CKMS.c170421

NEW TRANSFORMATIONS FOR HYPERGEOMETRIC FUNCTIONS DEDUCIBLE BY FRACTIONAL CALCULUS  

Kim, Yong Sup (Department of Mathematics Education Wonkwang University)
Publication Information
Communications of the Korean Mathematical Society / v.33, no.4, 2018 , pp. 1239-1248 More about this Journal
Abstract
Recently, many authors have obtained several hypergeometric identities involving hypergeometric functions of one and multi-variables such as the Appell's functions and Horn's functions. In this paper, we obtain several new transformations suitably by applying the fractional calculus operator to these hypergeometric identities, which was introduced recently by Tremblay.
Keywords
fractional derivatives; Appell functions; Srivastava functions; multiple hypergeometric series;
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