IJPAM: Volume 61, No. 1 (2010)

A METHOD FOR GENERATING INTEGRAL IDENTITIES

M.L. GlasserDepartment of Physics, Clarkson University, 8, Clarkson Avenue, Potsdam, NY 13699-5820, USA
Department of Physics
Clarkson University
8, Clarkson Avenue, Potsdam, NY 13699-5820, USA
and
Departamento de Física Teórica, Atómica y Óptica
Universidad de Valladolid
Valladolid, 470071, SPAIN
e-mail: laryg@clarkson.edu


Abstract.Based on the Parseval relation for certain integral transforms related to the Fourier transform, a method is presented for producing integral identities. When these are constructed to include two or more parameters, the selection of special values for the later can be used to simplify, and in many cases, to evaluate classes of integrals containing special functions. A number of examples is provided.

Received: April 5, 2010

AMS Subject Classification: 26A33

Key Words and Phrases: integral transform, Parseval, special functions

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 61
Issue: 1