# Generalized Fractional Integrals Involving Product of Multivariable H-function and a General Class of Polynomials

Volume 9, Issue 1, pp 8--21
Publication Date: January 19, 2016 Submission Date: April 15, 2015
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### Authors

D. Kumar - Department of Mathematics and Statistics, Jai Narain Vyas University, Jodhpur-342005, India. S. D. Purohit - Department of Mathematics, Rajasthan Technical University, Kota-324010, India. J. Choi - Department of Mathematics, Dongguk University, Gyeongju 780-714, Republic of Korea.

### Abstract

A large number of fractional integral formulas involving certain special functions and polynomials have been presented. Here, in this paper, we aim at establishing two fractional integral formulas involving the products of the multivariable H-function and a general class of polynomials by using generalized fractional integration operators given by Saigo and Maeda [M. Saigo, N. Maeda, Varna, Bulgaria, (1996), 386{400]. All the results derived here being of general character, they are seen to yield a number of results (known and new) regarding fractional integrals.

### Share and Cite

##### ISRP Style

D. Kumar, S. D. Purohit, J. Choi, Generalized Fractional Integrals Involving Product of Multivariable H-function and a General Class of Polynomials, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 1, 8--21

##### AMA Style

Kumar D., Purohit S. D., Choi J., Generalized Fractional Integrals Involving Product of Multivariable H-function and a General Class of Polynomials. J. Nonlinear Sci. Appl. (2016); 9(1):8--21

##### Chicago/Turabian Style

Kumar, D., Purohit, S. D., Choi, J.. "Generalized Fractional Integrals Involving Product of Multivariable H-function and a General Class of Polynomials." Journal of Nonlinear Sciences and Applications, 9, no. 1 (2016): 8--21

### Keywords

• Generalized fractional integral operators
• multivariable H-function
• general class of polynomials
• Mittag-Leffler function.

•  26A33
•  33C45
•  33C60
•  33C70

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