Monotonicity of the zeros of orthogonal polynomials through related measures
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Relation between two sequences of orthogonal polynomials, where the associated measures are related to each other by a first degree polynomial multiplication (or division), is well known. We use this relation to study the monotonicity properties of the zeros of generalized orthogonal polynomials. As examples, the Jacobi, Laguerre and Charlier polynomials are considered. (c) 2005 Elsevier B.V. All rights reserved.
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da Silva, A. P.; Ranga, A. S.; Vazquez, T. G.. Monotonicity of the zeros of orthogonal polynomials through related measures. Journal of Mathematical Analysis and Applications. San Diego: Academic Press Inc. Elsevier B.V., v. 307, n. 2, p. 699-709, 2005. Available at: <http://hdl.handle.net/11449/33745>.