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I have the probability-generating function G(s) as following , how got the mentioned Probability-mass function f(k) from it ??

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mohammed elmenshawy
syms u s a k;
G =(1+a*(1+u)-a*(1+u)*s)/((1+u-u*s)*(1+a-a*s));
f(s)=diff(G,s,k);
pmfa=f(0)/factorial(k);
but the result is zero !!

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