Alicia Cachafeiro

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In this paper we consider a Sobolev inner product (f, g) S = f gdµ + λ f g dµ (1) and we characterize the measures µ for which there exists an algebraic relation between the polynomials, {P n }, orthogonal with respect to the measure µ and the polynomials, {Q n }, orthogonal with respect to (1), such that the number of involved terms does not depend on the(More)
The aim of this paper is the study of some transformations in the Laguerre-Hahn affine class that do not preserve the class. Under very general conditions, we establish that the second kind functional associated with a Laguerre-Hahn affine functional does not belong to the Laguerre-Hahn affine class. The transformations related to the associated polynomials(More)