Abstract
In this contribution, we extend the concept of coherent pair for two quasi-definite matrix linear functionals and . Necessary and sufficient conditions for these functionals to constitute a coherent pair are determined, when one of them satisfies a matrix Pearson-type equation. Moreover, we deduce algebraic properties of the matrix orthogonal polynomials associated with the Sobolev-type inner product where and are non-singular matrices and are matrix polynomials.
Publication
Journal of Mathematical Analysis and Applications, 518(1), 341-358. doi:10.1016/j.jmaa.2022.126674