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Derivation of bessel generating function

  1. Jul 10, 2011 #1
    1. The problem statement, all variables and given/known data
    The bessel generating function:
    exp(x*(t-(1/t))/2)=sum from 0 to n(Jn(x)t^(n))
    2. Relevant equations



    3. The attempt at a solution
    exp(x*(t-(1/t))/2)=exp((x/2)*t)exp((x/2)*(1/t))
    used the McLaurin expansion of exponentials. Not sure how to bring the powers equal to that of the right hand side.
    How could I type symbols wthout using latex.

    Thanx
     
  2. jcsd
  3. Jul 10, 2011 #2

    SammyS

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    To type symbols without using latex: Look at this https://www.physicsforums.com/blog.php?b=347" [Broken] from Redbelly98.
     
    Last edited by a moderator: May 5, 2017
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