ON APPLICATION OF SAIGO’S FRACTIONAL q-INTEGRAL OPERATORS TO BASIC ANALOGUE OF FOX’S H-FUNCTIONS 

By

Krishna Gopal Bhadana1 and Ashok Kumar Meena2

1Department of Mathematics, S.P.C. Government College Ajmer-305001, Rajasthan, India 

2Maharshi Dayanand Saraswati University Ajmer-305009, Rajasthan, India 

Email:drbhadanakg@gmail.com, ashokmeena428@gmail.com 

(Received : November 18, 2021 ; In format : December 11,2021 ; Revised in final form : March 30.2022) 

 DOI: https://doi.org/10.58250/Jnanabha.2022.52115

Abstract

This paper deals with the derivation of the Saigo’s fractional q-integral operator of the basic analogue of the Fox’s H-function defined by Saxena, Modi and Kalla [6]. In the present paper, an application of the Saigo’s fractional q-integral operator to various q-integral of Fox’s H-function have been investigated. Some special cases have also been deduced. 

2020 Mathematical Sciences Classification: 26A33, 33C60, 33D05, 05A30. 

Keywords and Phrases: Saigo’s fractional q-integral operator, Kober fractional q-integral, Weyl fractional q-integral, basic analogue of Fox’s H-function