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Fractional Derivative of the Multivariable Polynomials

Chaurasia, V.B.L., and Singhai, Vijay Kumar, (2004) Fractional Derivative of the Multivariable Polynomials. Bulletin of the Malaysian Mathematical Sciences Society, 27 (1). pp. 9-16. ISSN 0126-6705

Full text not available from this repository.

Official URL: http://math.usm.my/bulletin/pdf/v27n1/v27n1p2.pdf

Affiliations

University of Rajasthan, Dept. of Mathematics

Abstract

Motivated by several earlier works we establish a fractional derivative of the multivariable $H$-function [5], associated with a general class of multivariable polynomials [6], and the generalized Lauricella functions [1]. Certain interesting special cases have also been discussed.

Item Type:Journal
Subjects:Q Science, Computer Science
ID Code:1371

1. H.M. Srivastava and M.C. Daoust, Certain generalized Neumann expansions associated with the Kampé de Fériet function, Nederl. Akad. Wetensch Indag. Math. 31(1969), 449—457.

2. K.B. Oldham and J. Spanier, The Fractional Calculus, Academic Press, New York, 1974.

3. H.M. Srivastava and S.P. Goyal, Fractional derivatives of the H-function of several complex variables, J. Math. Anal. Appl. 112 (1985), 641—651.

4. H.M. Srivastava, K.C. Gupta and S.P. Goyal, The H-functions of One and Two Variable with Applications, South Asian publishers New Delhi-Madras, 1982.

5. H.M. Srivastava and R. Panda, Some bilateral generating functions for a class of generalized hypergeometric polynomials, J. Raine Angew. Math. 283/284 (1976), 265—274.

6. H.M. Srivastava and M. Garg, Some integrals involving a general class of polynomials and the multivariable H-function, Rev. Roumanine Phys. 32 (1987), 685—692.

7. H.M. Srivastava and R. Panda, Certain expansion formulas involving the generalized Lauricella functions, II Comment Math. Univ. St. Paul 24 (1974), 7—14.

8. C.K. Sharma and Indrajeet Singh, Fractional Derivatives of the Lauricella functions and the multivariable H-function, Jnanabha 21(1991), 165—170.

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