Howard S. Cohl, Hans Volkmer, “Definite integrals using orthogonality and integral transforms”, SIGMA, 2012, Volume 8,077, 10 pp.

Definite integrals using orthogonality and integral transforms

Howard S. Cohl^a, Hans Volkmer^b

^a Applied and Computational Mathematics Division, Information Technology Laboratory, National Institute of Standards and Technology, Gaithersburg, MD, 20899-8910, USA
^b Department of Mathematical Sciences, University of Wisconsin-Milwaukee, P.O. Box 413, Milwaukee, WI, 53201, USA

Abstract: We obtain definite integrals for products of associated Legendre functions with Bessel functions, associated Legendre functions, and Chebyshev polynomials of the first kind using orthogonality and integral transforms.

Keywords: definite integrals; associated Legendre functions; Bessel functions; Chebyshev polynomials of the first kind.

MSC: 26A42; 33C05; 33C10; 33C45; 35A08

Received: July 31, 2012; in final form October 15, 2012; Published online October 19, 2012

Language: English

DOI: 10.3842/SIGMA.2012.077