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We shall present some new results on Sobolev orthogonal polynomials associated with coherent pairs of positive measures. After briefly recalling the classical notion of coherent pairs and its role in the theory of Sobolev orthogonality, we shall discuss several structural properties of the corresponding polynomial families, with particular attention to their recurrence relations, differential properties, and connections with the underlying measures. The talk will also highlight how coherence conditions make it possible to transfer information from standard orthogonal polynomials to the Sobolev setting, thereby providing a useful framework for the explicit construction and analysis of these families.
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