Index transforms associated with generalized hypergeometric functions

• Type: Article in International Scientific Journal
• Date: 2004

Authors

Yakubovich, SB (Author) FCUP

Journal

Title: Mathematical Methods in the Applied Sciences

Vol. 27

Pages: 35-46

ISSN: 0170-4214

Publisher: Wiley-Blackwell

Indexing

ISI Web of Knowledge - 1 Citation

Scopus - 1 Citation

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-000-BZ7

DOI: 10.1002/mma.436

Abstract (EN): We deal with a class of integral transformations whose kernels contain the Clausenian hypergeometric function 3F(2)(a(1),a(2),a(3);b(1),b(2);z).These transforms are defined in terms of integrals with respect to their parameters. It involves as particular cases the familiar Olevskii and generalized Mehler-Fock transforms which are key tools in the methods of the mathematical theory of elasticity. The main theorem of boundedness of these operators as a map of L-2(R+) --> L-2(R+ ; x(-1) dx) is proved. Some examples of the Olevskii and Mehler-Fock type integrals are given. Copyright (C) 2003 John Wiley Sons, Ltd.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 12