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