The Schur algorithm for an indefinite Stieltjes moment problem

The nondegenerate truncated indefinite Stieltjes moment problem in the class N κ k of generalized Stieltjes functions is considered. To describe the set of solutions of this problem we apply the Schur step‐by‐step algorithm, which leads to the expansion of these solutions in generalized Stieltjes continuous fractions studied recently in [11]. Explicit formula for the resolvent matrix in terms of generalized Stieltjes polynomials is found.