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Recursion formulas for certain quadruple hypergeometric functions
Journal article   Open access  Peer reviewed

Recursion formulas for certain quadruple hypergeometric functions

Jihad Younis, Ashish Verma, Hassen Aydi, Kottakkaran Sooppy Nisar and Habes Alsamir
Advances in difference equations, Vol.2021(1), pp.1-14
06/09/2021
DOI: https://doi.org/10.1186/s13662-021-03561-z

Abstract

Analysis Difference and Functional Equations Difference Equations Functional Analysis general Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations Special Functions and Orthogonal Polynomials
A remarkably large number of hypergeometric (and generalized) functions and a variety of their extensions have been presented and investigated in the literature by many authors. In this paper, we introduce five new hypergeometric functions in four variables and then establish several recursion formulas for these new functions. Some interesting particular cases and consequences of the main results are also considered.
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https://doi.org/10.1186/s13662-021-03561-zView
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