Zeros of Orthogonal Polynomials Generated by Canonical Perturbations on Standard Measure

2010/05/03 by Edmundo J. Huertas, Huertas, Edmundo J., Francisco Marcellán +3
Computer Science · Mathematics · #30C15 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Iterative Methods for Nonlinear Equations #Mathematical functions and polynomials #Matrix Theory and Algorithms #math.CA #msc:30C15

paper · pdf · doi:10.48550/arxiv.1005.0336

41 pages, 2 figures

openalex publication_date 2010/05/03 · arxiv created 2010/06/21 · arxiv updated 2010/06/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this contribution, the behavior of zeros of orthogonal polynomials associated with canonical linear spectral transformations of measures supported in the real line is analyzed. An electrostatic interpretation of them is given.

Citations

• A differential equation for orthogonal polynomials

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