On certain non-unique solutions of the Stieltjes moment problem

K. A. Penson, P. Blasiak, G. H. E. Duchamp +2

We construct explicit solutions of a number of Stieltjes moment problems based on moments of the form ${\rho }_1^{(r)}(n)=(2rn)!$ and ${\rho }_2^{(r)}(n)=[(rn)!{]}^2$, $r=1,2,...$, $n=0,1,…