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On some formulas for the generalized appell type functions

  • International College of Engineering
  • Poornima College of Engineering
  • Aligarh Muslim University
  • Prince Sattam Bin Abdulaziz University

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

A remarkably large number of special functions (such as the Gamma and Beta functions, the Gauss hypergeometric function, and so on) have been investigated by many authors. Motivated the works of both works of both Burchnall and Chaundy and Chaundy and very recently, Brychkov and Saad gave interesting generalizations of Appell type functions. In the present sequel to the aforementioned investigations and some of the earlier works listed in the reference, we present some new differential formulas for the generalized Appell's type functions Ki i = 1; 2; . . ., 18 by considering the product of two 4F3 functions.

Original languageEnglish
Pages (from-to)835-850
Number of pages16
JournalCommunications of the Korean Mathematical Society
Volume32
Issue number4
DOIs
StatePublished - 2017
Externally publishedYes

Keywords

  • Appell's type functions
  • Fractional calculus
  • Hypergeometric series

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