Summation Formulas Obtained by Means of the Generalized Chain Rule for Fractional Derivatives. (28th August 2014)

• Record Type: Journal Article
• Authors: Gaboury, S.; Tremblay, R.
• Other Names: Grinshpan Arcadii Z. Academic Editor.
• Is Part Of: Journal of complex analysis. Volume 2014(2014)
• Publication Date: 2014-08-28
• Subjects: Functions of complex variables -- Periodicals; Mathematical analysis -- Periodicals; 515.905
• DOI: 10.1155/2014/820951
• Languages: English
• ISSNs: 2314-4963

Abstract

Abstract : In 1970, several interesting new summation formulas were obtained by using a generalized chain rule for fractional derivatives. The main object of this paper is to obtain a presumably new general formula. Many special cases involving special functions of mathematical physics such as the generalized hypergeometric functions, the Appell F 1 function, and the Lauricella functions of several variables F D ( n ) are given.