Fractional calculus and its applications involving functions of several variables

Applied Mathematics Letters

Volumn 12, Issue 5, 1999, Pages 19-23

  Kalia, R N ^a   Srivastava, H M ^b  

^a ST CLOUD STATE UNIVERSITY   (United States)

^b UNIVERSITY OF VICTORIA   (Canada)

Author keywords

(Srivastava Daoust) generalized Lauricella function; Bilateral expansions; Entire functions; Fractional calculus; Incomplete gamma functions; Leibniz rule; Multivariable hypergeometric functions; Riemann Liouville operator; Special functions

Indexed keywords

EID: 0041857818     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(99)00051-8     Document Type: Article

References (6)

1. S.G. Samko, A.A. Kilbas and O.I. Marichev, Fractional Integrals and Derivatives: Theory and Applications, Gordon and Breach Science Publishers, Reading, PA, (1993).
2. R.N. Kalia, Editor, Recent Advances in Fractional Calculus, Global Publishing Company, Sauk Rapids, MI, (1993).
3. H.M. Srivastava, Some applications of fractional calculus involving the Gamma and related functions, In Recent Advances in Fractional Calculus, (Edited by R.N. Kalia), pp. 179-202, Global Publishing Company, Sauk Rapids, MI, (1993).
4. H.M. Srivastava and P.W. Karlsson, Multiple Gaussian Hypergeometric Series, Halsted Press (Ellis Horwood Limited)/John Wiley and Sons, Chichester/New York, (1985).
5. T.J. Osler, A further extension of the Leibniz rule to fractional derivatives and its relation to Parseval's formula, SIAM J. Math. Anal 3, 1-16, (1972).
6. R.N. Kalia, Integral transforms, fractional calculus and special functions, In Transform Methods and Special Functions, (Proceedings of the First International Workshop on Transform Methods and Special Functions held at Bankya [Sofia]; August 12-17, 1994), (Edited by P. Rusev, I. Dimovski and V. Kiryakova), pp. 82-92, Science Culture Technology Publishing Company, Singapore, (1995).