Analytical results for a Bessel function times Legendre polynomials class integrals

A. A.R. Neves; L. A. Padilha; A. Fontes; E. Rodriguez; C. H.B. Cruz; L. C. Barbosa; C. L. Cesar

doi:10.1088/0305-4470/39/18/L06

Analytical results for a Bessel function times Legendre polynomials class integrals

A. A.R. Neves, L. A. Padilha, A. Fontes, E. Rodriguez, C. H.B. Cruz, L. C. Barbosa, C. L. Cesar

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

55 Citas (Scopus)

Resumen

When treating problems of vector diffraction in electromagnetic theory, the evaluation of the integral involving Bessel and associated Legendre functions is necessary. Here we present the analytical result for this integral that will make numerical quadrature techniques or localized approximations unnecessary. The solution is presented using the properties of the Bessel and associated Legendre functions.

Idioma original	Inglés
Páginas (desde-hasta)	L293-L296
Publicación	Journal of Physics A: Mathematical and General
Volumen	39
N.º	18
DOI	https://doi.org/10.1088/0305-4470/39/18/L06
Estado	Publicada - 5 may. 2006
Publicado de forma externa	Sí

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AU - Neves, A. A.R.

AU - Padilha, L. A.

AU - Fontes, A.

AU - Rodriguez, E.

AU - Cruz, C. H.B.

AU - Barbosa, L. C.

AU - Cesar, C. L.

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AB - When treating problems of vector diffraction in electromagnetic theory, the evaluation of the integral involving Bessel and associated Legendre functions is necessary. Here we present the analytical result for this integral that will make numerical quadrature techniques or localized approximations unnecessary. The solution is presented using the properties of the Bessel and associated Legendre functions.

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Analytical results for a Bessel function times Legendre polynomials class integrals

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