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Zbl 0894.26002
Saxena, A.K.; Kiryakova, V.S.; Dave, O.P.
A unified approach to certain fractional integration operators.
(English)
[J] Math. Balk., New Ser. 8, No.2-3, 211-219 (1994). ISSN 0205-3217

In order to unify and extend the results on various fractional integration operators defined and studied during the last three decades, the authors investigate in this paper a pair of new fractional integral operators associated with multivariable $H$-function due to {\it H. M. Srivastava} and {\it R. Panda} [J. Reine Angew. Math. 283/284, 265-274 (1976; Zbl 0318.33006)] and a general class of polynomials introduced by {\it H. M. Srivastava} [Indian J. Math. 14, 1-6 (1972; Zbl 0249.33006)]. Some properties of these operators related to their Mellin transforms are investigated, generalizing the scores of results on various fractional integration operators scattered in the literature.
[Kosta Markov (Sofia)]
MSC 2000:
*26A33 Fractional derivatives and integrals (real functions)
33C70 Other hypergeometric functions and integrals in several variables

Keywords: fractional integration operators; multivariable $H$-function; Mellin transform

Citations: Zbl 0318.33006; Zbl 0249.33006

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