Analytical results for a Bessel function times Legendre polynomials   class integrals
  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 unnecessary numerical quadrature techniques or localized approximations. The solution is presented using the properties of the Bessel and associated Legendre functions. 
Antonio Alvaro Ranha Neves, Lazaro Aurelio Padilha, Adriana Fontes,   Eugenio Rodriguez, Carlos Henrique de Brito Cruz, Luiz...