The Stieltjes moment problems and the Hamburger moment problems , if they are solvable , may have infinitely many solutions ( indeterminate moment problem ) .
A Hausdorff moment problem always has a unique solution if it is solvable .
The Stieltjes moment problems and the Hamburger moment problems , if they are solvable , may have infinitely many solutions ( indeterminate moment problem ) whereas a Hausdorff moment problem always has a unique solution if it is solvable .