1. Oct 12, 2013 #1

   ineedhlp

   

   When solving a differential equation for Bessel Functions, how do you know when to use the 1st kind or Neumann functions. How do you know which order of the bessel function to use?

    

   ineedhlp, Oct 12, 2013
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3. Oct 13, 2013 #2

   SteamKing

   

   Staff Emeritus

   Science Advisor

   Homework Helper

   It depends on the coefficients in the differential equation being solved.
   
   e.g., Bessel's equation:
   
   x^2*y'' + x*y' + (x^2 - α^2) = 0
   
   Here, α is the order of the Bessel function which solves the equation.
   
   http://en.wikipedia.org/wiki/Bessel_function
   
   A Neumann function is a Bessel function of the second kind.
   
   http://mathworld.wolfram.com/BesselFunctionoftheSecondKind.html

    

   SteamKing, Oct 13, 2013

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