Some Convergent Summation Theorems For Appell’s Function F1 Having Arguments −1, 1/2

M.I. Qureshi; M.S. Baboo; A. Ahmad

doi:10.31489/2022m3/116-123

Some Convergent Summation Theorems For Appell’s Function F1 Having Arguments −1, 1/2

Authors

M.I. Qureshi
M.S. Baboo
A. Ahmad

DOI:

https://doi.org/10.31489/2022m3/116-123

Keywords:

generalized hypergeometric function, Appell’s function of first kind, K¨ummer’s first, second and third summation theorems

Abstract

In this paper, we obtain some closed forms of hypergeometric summation theorems for Appell’s function of first kind F₁having the arguments -1, 1/2 with suitable convergence conditions, by adjustment of parameters and arguments in generalized form of first, second and third summation theorems of Ku¨mmer and others.

Downloads

Published

2022-09-30

How to Cite

Qureshi, M., Baboo, M., & Ahmad, A. (2022). Some Convergent Summation Theorems For Appell’s Function F1 Having Arguments −1, 1/2. Bulletin of the Karaganda University. Mathematics Series, 107(3), 116–123. https://doi.org/10.31489/2022m3/116-123