<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper, we study a pair of unified and extended fractional integral operator involving the multivariable <italic>I</italic>-functions and general class of multivariable polynomials. Here, we use Mellin transforms to obtain our main results. Certain properties of these operators concerning to their Mellin-transforms have been investigated. On account of the general nature of the functions involved herein, a large number of known (may be new also) fractional integral operators involved simpler functions can be obtained. We will also quote the particular case of the multivariable <italic>H</italic>-function.</p></abstract>

In this paper, we study a pair of unified and extended fractional integral operator involving the multivariable I-functions and general class of multivariable polynomials. Here, we use Mellin transforms to obtain our main results. Certain properties of these operators concerning to their Mellin-transforms have been investigated. On account of the general nature of the functions involved herein, a large number of known (may be new also) fractional integral operators involved simpler functions can be obtained. We will also quote the particular case of the multivariable H-function.

Fractional calculus pertaining to multivariable <italic>I</italic>-function defined by Prathima

Department of Applied Sciences, College of Agriculture, Sumerpur-Pali

Journal of Applied Mathematics, Statistics and Informatics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Fractional calculus pertaining to multivariable -function defined by Prathima

In this paper, we study a pair of unified and extended fractional integral operator involving the multivariable I-functions and general class of multivariable...

Fractional calculus pertaining to multivariable I-function defined by Prathima

Published Online: Dec 21, 2019

Page range: 61 - 73

DOI: https://doi.org/10.2478/jamsi-2019-0009

Keywords
Multivariable -function, -function, Fractional integral operators, General class of multivariable polynomials, Mellin transform, Multivariable -function

© 2019 Faculty of Natural Sciences, University of Saint Cyril and Metodius

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Fractional calculus pertaining to multivariable I-function defined by Prathima

Published Online: Dec 21, 2019

Page range: 61 - 73

DOI: https://doi.org/10.2478/jamsi-2019-0009

KeywordsMultivariable -function, -function, Fractional integral operators, General class of multivariable polynomials, Mellin transform, Multivariable -function

© 2019 Faculty of Natural Sciences, University of Saint Cyril and Metodius

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Multivariable -function, -function, Fractional integral operators, General class of multivariable polynomials, Mellin transform, Multivariable -function