The authors apply certain operators of fractional calculus (that is, integrals and derivatives of arbitrary real or complex order) with a view to evaluating various families of infinite integrals associated with functions of several variables. They also present relevant connections of the infinite i
Fractional calculus and its applications involving functions of several variables
โ Scribed by R.N. Kalia; H.M. Srivastava
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 264 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0893-9659
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โฆ Synopsis
The authors apply certain operators of fractional calculus (that is, integrals and derivatives of an arbitrary real or complex order) with a view to deriving various families of bilateral expansions associated with functions of several variables. They also present relevant connections of the bilateral expansions obtained in this paper with those given in earlier works on the subject. (~) 1999 Elsevier Science Ltd. All rights reserved.
๐ SIMILAR VOLUMES
Let A be the class of analytic functions in the open unit disk U. Given 0 ~ A < 1, let ~x be the operator defined on ,4 by where D~I is the fractional derivative of f of order A. A function f in ,4 is said to be in the class SPx if ~Af is a parabolic starlike function. In this paper, several basic
Certain general fractional derivatives formulas involving the H-function of one and more variables are established that generalize the corresponding results considered by Srivastava and Goyal. This leads us to an extension of the expansion formula for the Lauricella function F ลฝ r . given by Srivast