Bessel's Equation and Rodrique Formula

1. Jul 7, 2013

Is there any relation between Rodrique formula and Bessel's equation? Is it necessary to apply Rodrigue formula in the Bessel's Equation?

2. Jul 7, 2013

fzero

I do not believe that there is a Rodrigues-type formula for the Bessel functions, since there is no representation of a Bessel function in terms of a polynomial of finite order. The Taylor series representations are infinite series. There is a slightly different type of presentation called a generating function that can be used to express the Bessel functions in terms of derivatives of an elementary function. See sect. 2.1 of these notes for some details.