SOME SUMMATION FORMULAS FOR DOUBLE HYPERGEOMETRIC FUNCTIONS OF SRIVASTAVA-DAOUST HAVING ±1 ARGUMENTS
By
M. I. Qureshi, Bilal Ahmad Bhat* and Tafaz ul Rahman Shah
Department of Applied Sciences and Humanities
Faculty of Engineering and Technology Jamia Millia Islamia (A Central University), New Delhi-110025, India
Email:miqureshi_delhi@yahoo.co.in, tafazuldiv@gmail.com
*Corresponding author: bilalj102102@gmail.com
(Received : September 21, 2021; Revised : November 15, 2021)
DOI: https://doi.org/10.58250/Jnanabha.2021.51226
Abstract
In this paper, by using the hypergeometric approach we evaluate four definite integrals having the integrand (in the form of real powers of tan θ), in order to get various summation formulas for Srivastava-Daoust double hypergeometric functions containing the arguments ±1.
2020 Mathematical Sciences Classification: 33-XX, 33E20, 33C05, 33B10.
Keywords and Phrases: Catalan constant, Srivastava-Daoust double hypergeometric function.