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## Main Question or Discussion Point

given the sequence (power series) [tex] g(x)= \sum_{n\ge 0}a(n)(-1)^{n}x^{n} [/tex]

if i define [tex] a(n)=\int_{n=0}^{\infty}dxf(x)x^{n} [/tex] (1)

if [tex] f(x)>0 [/tex] on the whole interval [tex] (0,\infty) [/tex] , is the solution to (1) unique ?? , this means that the moment problem for a(n) would have only a solution.

if i define [tex] a(n)=\int_{n=0}^{\infty}dxf(x)x^{n} [/tex] (1)

if [tex] f(x)>0 [/tex] on the whole interval [tex] (0,\infty) [/tex] , is the solution to (1) unique ?? , this means that the moment problem for a(n) would have only a solution.