Analytical results for a Bessel function times Legendre polynomials class integrals

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JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 39(18), 293. TEMPLE CIRCUS, TEMPLE WAY, BRISTOL BS1 6BE, ENGLAND: IOP PUBLISHING LTD (2006) .

IOP PUBLISHING LTD

Abstract

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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