We pursue our previous investigations of establishing a one-to-one correspondence between the solutions to the BNP (N[a,b) problem and the solutions to the Hausdorff mon-ment problem with a certain constraint via the so-called Hankel vector approach. By the connection between the class N[a,b] and the class S[a,b], the author obtains the solvability criteria and the parametrized descriptions of the BNP (S[a,b]) problem in terms of that of the BNP (N[a,b]) problem. |