Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Bessel's Equation and Rodrique Formula

  1. Jul 7, 2013 #1
    Is there any relation between Rodrique formula and Bessel's equation? Is it necessary to apply Rodrigue formula in the Bessel's Equation?
     
  2. jcsd
  3. Jul 7, 2013 #2

    fzero

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    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.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Bessel's Equation and Rodrique Formula
  1. Bessel equation (Replies: 2)

  2. Bessel's equation (Replies: 1)

Loading...