Electrostatic models for zeros of polynomials: old, new, and some open problems

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We give a survey concerning both very classical and recent results on the electrostatic interpretation of the zeros of some well-known families of polynomials, and the interplay between these models and the asymptotic distribution of their zeros when the degree of the polynomials tends to infinity. The leading role is played by the differential equation satisfied by these polynomials. Some new developments, applications and open problems are presented.
23 pages, 2 figures

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Classical Analysis and ODEs, 33C45; 33C47; 31A05; 26C10; 30C15; 42C05

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http://salesiana.dossiersoluciones.com/handle/123456789/106202

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0512293
 http://arxiv.org/abs/math/0512293

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arXiv