Question: How can find pdf from moment function?

Dear All,


Hi. I am interested to find the pdf of this moment function: phi(t) = exp(a * b / p (e^(a*t) -1))

This is a moment of random variable Y = aX where X is a Poisson random variable with rate (a*b/p)

I want to know is it possible to find a pdf from its moment in maple?

If so how?


Best Regards,


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