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Fourier Series Time Multiplication

  1. Oct 22, 2007 #1
    I am stuck at one point in this problem (which is the main step):

    The original problem is to find the Fourier Transfer of t^(n-1)e^(-[tex]\alpha[/tex]*t)u_h

    and I know that e^(-[tex]\alpha[/tex]t)u_h(t) = 1/([tex]\alpha[/tex]+j[tex]\omega[/tex])

    I plug that into the general Time multiplication property and I get:

    This is where I'm stuck.

    I have the answer is equal to (n-1)!/([tex]\alpha[/tex]+j[tex]\omega[/tex]^2)^n
    I apologize for the bad formating, this is my first time using physics forum. =/ Thanks in advance!
  2. jcsd
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