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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


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    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.
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