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Bessel function explain

  1. Jul 12, 2007 #1


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    bessel function plz explain

    1. The problem statement, all variables and given/known data

    summation limits (n=j to infinity) (-a/4)**n/n!(2n_
    =(-1)**j e**(-a/2) I(a/2) where j>=1 the rest are constants and I is summation index
    i was just solving a SHM problem involving fourier transform in which this happens to be one of the steps involving the solution. i got this solution from mathematica it seems it's a modified bessel function of 1st kind.can any one plz explain this.i know nothing about bessel function and my basics in mathematics is bit shaky.

    2. Relevant equations
    iv(x)=summation limits 0 to infinity.(1/s!(s+1)!)*(x/2)^(2s+v)

    3. The attempt at a solution

    i read book by arfken and others but still can't understand.now it's more confusing.i got so confused with this step i can no longer remember the actual problem.
  2. jcsd
  3. Jul 13, 2007 #2


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