Geodesic
Generalized Fractional Integrals Involving Product of Multivariable H-function and a General Class of Polynomials
Kumar, D.1 ; Purohit, S. D.2 ; Choi, J.3
1 Department of Mathematics and Statistics, Jai Narain Vyas University, Jodhpur-342005, India
2 Department of Mathematics, Rajasthan Technical University, Kota-324010, India
3 Department of Mathematics, Dongguk University, Gyeongju 780-714, Republic of Korea
Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 1, p. 8-21.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.009.01.02
Classification : 26A33, 33C45, 33C60, 33C70
Keywords: Generalized fractional integral operators, multivariable H-function, general class of polynomials, Mittag-Leffler function.

Kumar, D. 1 ; Purohit, S. D. 2 ; Choi, J. 3

1 Department of Mathematics and Statistics, Jai Narain Vyas University, Jodhpur-342005, India
2 Department of Mathematics, Rajasthan Technical University, Kota-324010, India
3 Department of Mathematics, Dongguk University, Gyeongju 780-714, Republic of Korea 
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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 its applications, Tome 9 (2016) no. 1, p. 8-21. doi : 10.22436/jnsa.009.01.02. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.01.02/

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