<abstract xmlns="http://www.w3.org/1999/xhtml"><p> A significantly large number of earlier works on the subjects of fractional calculus give interesting account of the theory and applications of fractional calculus operators in many different areas of mathematical analysis. In the present paper, we study and develop an important result involving a fractional differential operator for the product of general multivariable polynomials, general polynomial set and two -functions. The result discussed here can be used to investigate a wide class of new and known results, hitherto scattered in the literature. For the sake of illustration, six interesting special case have also been recorded here of our main findings.</p></abstract>

A significantly large number of earlier works on the subjects of fractional calculus give interesting account of the theory and applications of fractional calculus operators in many different areas of mathematical analysis. In the present paper, we study and develop an important result involving a fractional differential operator for the product of general multivariable polynomials, general polynomial set and two -functions. The result discussed here can be used to investigate a wide class of new and known results, hitherto scattered in the literature. For the sake of illustration, six interesting special case have also been recorded here of our main findings.

New fractional calculus results involving Srivastava’s general class of multivariable polynomials and The H̅ - function

Department of Mathematics, University of Rajasthan, Jaipur-302004, Rajasthan, India.

Department of Mathematics, Arya Institute of Engineering and Technology, Kukas, Jaipur-302028, Rajasthan, India

Journal of Applied Mathematics, Statistics and Informatics

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

A significantly large number of earlier works on the subjects of fractional calculus give interesting account of the theory and applications of fractional...

New fractional calculus results involving Srivastava’s general class of multivariable polynomials and The H̅ - function

Published Online: Jun 27, 2015

Page range: 19 - 32

DOI: https://doi.org/10.1515/jamsi-2015-0002

Keywords
Fractional Derivative, General Multivariable Polynomials, Generalized Polynomial Set, H̅ -function

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

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

New fractional calculus results involving Srivastava’s general class of multivariable polynomials and The H̅ - function

Published Online: Jun 27, 2015

Page range: 19 - 32

DOI: https://doi.org/10.1515/jamsi-2015-0002

KeywordsFractional Derivative, General Multivariable Polynomials, Generalized Polynomial Set, H̅ -function

© 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
Fractional Derivative, General Multivariable Polynomials, Generalized Polynomial Set, H̅ -function