Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

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

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]