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Symmetry, Integrability and Geometry: Methods and Applications, 2012, Volume 8, 077, 10 pp.
DOI: https://doi.org/10.3842/SIGMA.2012.077 (Mi sigma754) 		 
Definite integrals using orthogonality and integral transforms

Howard S. Cohla, Hans Volkmerb

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
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DOI: https://doi.org/10.3842/SIGMA.2012.077
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.
Received: July 31, 2012; in final form October 15, 2012; Published online October 19, 2012
Bibliographic databases:
Document Type: Article
MSC: 26A42; 33C05; 33C10; 33C45; 35A08
Language: English
Citation: Howard S. Cohl, Hans Volkmer, “Definite integrals using orthogonality and integral transforms”, SIGMA, 8 (2012), 077, 10 pp.
Citation in format AMSBIB
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