Monotonicity of the zeros of orthogonal polynomials through related measures

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:307

Article

da Silva, AP ; Ranga, AS ; Vazquez, TG

关键词: orthogonal polynomials;    related measures;    three term recurrence relations;   

DOI  :  10.1016/j.jmaa.2005.03.028

来源: Elsevier

【 摘 要 】

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 Inc. All rights reserved.

【 授权许可】

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