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We consider the explicit relation between two resolvent matrices related tothe truncated Hausdorff matrix moment problem (THMM) in the case of an even andodd number of moments. This relation is described with the help of fourfamilies of orthogonal matrix polynomials on the finite interval $[a,b]$ andtheir associated second kind polynomials.

Explicit relation between two resolvent matrices of the truncated Hausdorff matrix moment problem