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Perturbed recurrence relations II the general case

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Abstract

In this paper, we give some new explicit relations between two families of polynomials defined by recurrence relations of all order. These relations allow us to analyze, even in the Sobolev case, how some properties of a family of orthogonal polynomials are affected when the coefficients of the recurrence relation and the order are perturbed. In a paper we have already given a method which allows us to study the polynomials defined by a three-term recurrence relation. Also here some generalizations are given.

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  1. Université de Toulon et du Var (Phymat), B.P.132-83957, La Garde Cedex and CNRS (C.P.T) Luminy, case 907, F-13288, Marseille cedex 9, France

    Elie Leopold

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Leopold, E. Perturbed recurrence relations II the general case. Numer Algor 44, 347–366 (2007). https://doi.org/10.1007/s11075-007-9107-1

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