Some hypergeometric summations formulas and series identities with applications

Authors

  • R. Gupta The IIS University, Jaipur, India
  • M. Menon The IIS University, Jaipur, India
  • E. Mittal The IIS University, Jaipur, India

DOI:

https://doi.org/10.31926/but.mif.2020.13.62.2.14

Keywords:

incomplete gamma function, incomplete generalized hypergeometric functions, incomplete Pochhammer symbol, Jacobi polynomials, Chebyshev polynomials, Gaussian hypergeometric function, 2F1 summation formulas

Abstract

In the paper, we present two incomplete Gaussian hypergeometric formulas in summation form by specific known formulas. We also developed each of these formulas and how they use to derive double series identities in general forms.

Author Biographies

R. Gupta, The IIS University, Jaipur, India

Department of Mathematics

M. Menon, The IIS University, Jaipur, India

Department of Mathematics

E. Mittal, The IIS University, Jaipur, India

Department of Mathematics 

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Published

2021-01-22

Issue

Vol. 13(62) No. 2 (2020)

Section

MATHEMATICS