Zeros of orthogonal polynomials generated by canonical perturbations of measures

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摘要

In this paper we analyze the behaviour of the zeros of polynomials orthogonal with respect to the Uvarov perturbation of a positive Borel measure dμ(x). When the measure is semiclassical, then its electrostatic interpretation is given.

论文关键词:Orthogonal polynomials,Interlacing,Monotonicity,Asymptotic behavior,Electrostatics interpretation

论文评审过程:Available online 31 January 2012.

论文官网地址:https://doi.org/10.1016/j.amc.2011.12.073