Definite Integrals using Orthogonality and Integral Transforms

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.

Bibliographic Details
Main Authors:	Howard S. Cohl, Hans Volkmer
Format:	Article
Language:	English
Published:	National Academy of Science of Ukraine 2012-10-01
Series:	Symmetry, Integrability and Geometry: Methods and Applications
Subjects:	definite integrals associated Legendre functions Bessel functions Chebyshev polynomials of the first kind
Online Access:	http://dx.doi.org/10.3842/SIGMA.2012.077

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spelling	doaj-47596031c1b04b349981fd9a100120e92020-11-24T20:54:24ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592012-10-018077Definite Integrals using Orthogonality and Integral TransformsHoward S. CohlHans VolkmerWe 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.http://dx.doi.org/10.3842/SIGMA.2012.077definite integralsassociated Legendre functionsBessel functionsChebyshev polynomials of the first kind
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Howard S. Cohl Hans Volkmer
spellingShingle	Howard S. Cohl Hans Volkmer Definite Integrals using Orthogonality and Integral Transforms Symmetry, Integrability and Geometry: Methods and Applications definite integrals associated Legendre functions Bessel functions Chebyshev polynomials of the first kind
author_facet	Howard S. Cohl Hans Volkmer
author_sort	Howard S. Cohl
title	Definite Integrals using Orthogonality and Integral Transforms
title_short	Definite Integrals using Orthogonality and Integral Transforms
title_full	Definite Integrals using Orthogonality and Integral Transforms
title_fullStr	Definite Integrals using Orthogonality and Integral Transforms
title_full_unstemmed	Definite Integrals using Orthogonality and Integral Transforms
title_sort	definite integrals using orthogonality and integral transforms
publisher	National Academy of Science of Ukraine
series	Symmetry, Integrability and Geometry: Methods and Applications
issn	1815-0659
publishDate	2012-10-01
description	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.
topic	definite integrals associated Legendre functions Bessel functions Chebyshev polynomials of the first kind
url	http://dx.doi.org/10.3842/SIGMA.2012.077
work_keys_str_mv	AT howardscohl definiteintegralsusingorthogonalityandintegraltransforms AT hansvolkmer definiteintegralsusingorthogonalityandintegraltransforms
_version_	1716794656971292672

Definite Integrals using Orthogonality and Integral Transforms

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