given a probability distribution P(x) >0 on a given interval , if we define the moment generatign function(adsbygoogle = window.adsbygoogle || []).push({});

[tex] M(x)= \int_{a}^{b}dt e^{xt}P(t)dt [/tex]

my question is , if the moment problem is determined, then could we say that ALL the zeros of M(x) are PURELY imaginary ? [tex] ia [/tex] or this is only for certain P(x) ??

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# Moment generating function (Probability)

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