The Nevanlinna-type formula for the matrix Hamburger moment problem (Q2850440)

The author obtains a Nevanlinna type formula for solutions of the matrix Hamburger moment problem. The only assumptions are that the problem is solvable and has more than one solution. Note that a formula of this kind was known (even for a more general operator moment problem) under a stronger assumption of complete indeterminacy [\textit{V. Derkach}, in: Adamyan, Vadim (ed.) et al., Modern analysis and applications. The Mark Krein centenary conference. Vol. 1. Basel: Birkhäuser. 197--236 (2009; Zbl 1217.47034)]. Necessary and sufficient conditions for the determinacy of the above moment problem, in terms of the given moments, are also obtained.