CERTAIN INTEGRALS OF PRODUCT OF MITTAG-LEFFLER FUNCTION, M-SERIES AND I-FUNCTION OF TWO VARIABLES
By
Dheerandra Shanker Sachan and Giriraj Singh
St.Mary's Postgraduate College, Vidisha, Madhya Pradesh, India-464001
Email: sachan.dheerandra17@gmail.com, singh.giriraj392@gmail.com
(Received: August 30, 2023; In format: September 12, 2023; Revised: October 05, 2023; Accepted: November 16, 2023)
DOI: https://doi.org/10.58250/jnanabha.2023.53221
Abstract
The object of this paper is to establish certain united integrals associated with I-function of two variables. First, we have evaluated integrals whose integrand is the product of generalized Mittag-Leer function, generalized M-series and I-function of two variables. Moreover, the integrand of the last integral is the product of generalized Mittag-Leer function, generalized M-series, H-function of one variables and I-function of two variables. We have evaluated this integral by means of Mellin transform of H-function of one variables. In consequence of general nature of I-function of two variables, some special cases also have been considered.
2020 Mathematical Sciences Classification: 33B15, 33E12, 33C60, 44A20.
Keywords and Phrases: Generalized Mittag-Leer function, Generalized M-series, Fox's H-function, Mellin transform of H-function, I-function of two variables, Mellin-Barnes type integrals.