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Summation Formulas Obtained by Means of the Generalized Chain Rule for Fractional Derivatives

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  • S. Gaboury
  • R. Tremblay

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 function, and the Lauricella functions of several variables are given.

Suggested Citation

  • S. Gaboury & R. Tremblay, 2014. "Summation Formulas Obtained by Means of the Generalized Chain Rule for Fractional Derivatives," Journal of Complex Analysis, Hindawi, vol. 2014, pages 1-7, August.
    • Handle: RePEc:hin:jnljca:820951
    DOI: 10.1155/2014/820951
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