Musharraf Ali, Harsh Vardhan Harsh, Arjun K. Rathie, “A note on two general reduction formulas for the Srivastava–Daoust double hypergeometric functions”, J. Sib. Fed. Univ. Math. Phys., 2024, Volume 17, Issue 1,Pages <nobr>48

A note on two general reduction formulas for the Srivastava–Daoust double hypergeometric functions

Musharraf Ali^a, Harsh Vardhan Harsh^b, Arjun K. Rathie^c

^a Department of Mathematics, G. F. College, Shahjahanpur-242001, Uttar Pradesh, India
^b Department of Mathematics, The ICFAI University, Jaipur-302031, Rajasthan, India
^c Department of Mathematics, Vedant College of Engineering and Technology, Rajasthan Technical University, Bundi-323021, Rajasthan, India

Abstract: The aim of this note is to provide two new and general reduction formulas for the Srivastava–Doust double hypergeometric functions. A few interesting special cases have also been given.

Keywords: hypergeometric functions, Humbert double hypergeometric functions, Appell functions, Srivastava $\&$ Daoust double hypergeometric function, beta integral method.

UDC: 517.5

Received: 23.04.2023
Received in revised form: 18.08.2023
Accepted: 14.09.2023

Language: English