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Small approximation of the Derivative of the Bessel function

  1. Nov 18, 2012 #1
    Hi everyone,

    I have an equation that contains the derivative of the Bessel Function of the first kind. I need to evaluate Jn'(x) for small values of x (x<<1). I know that Jn(x) is (x)n/(2n*n!). What is it for the derivative?
     
  2. jcsd
  3. Nov 19, 2012 #2
    Hi !

    You can derivate the series expansion or alternatively expand the formal derivative. Both methods leads to the same result.
     

    Attached Files:

  4. Nov 19, 2012 #3
    Thank You!!!
     
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