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    Derivation of bessel generating function

    Homework Statement The bessel generating function: exp(x*(t-(1/t))/2)=sum from 0 to n(Jn(x)t^(n)) Homework Equations 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...
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