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SIGMA, 2012, Volume 8, 077, 10 pages (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

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.

DOI: https://doi.org/10.3842/SIGMA.2012.077

Full text: PDF file (328 kB)
Full text: http://emis.mi.ras.ru/.../077
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Bibliographic databases:

ArXiv: 1210.0041
MSC: 26A42; 33C05; 33C10; 33C45; 35A08
Received: July 31, 2012; in final form October 15, 2012; Published online October 19, 2012
Language:

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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\by Howard S. Cohl, Hans Volkmer
\paper Definite integrals using orthogonality and integral transforms
\jour SIGMA
\yr 2012
\vol 8
\papernumber 077
\totalpages 10
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\crossref{https://doi.org/10.3842/SIGMA.2012.077}
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\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84868140751}


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