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

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dc.creatorMarcellan, F.
dc.creatorMartinez-Finkelshtein, A.
dc.creatorMartinez-Gonzalez, P.
dc.date2005-12-13
dc.date.accessioned2026-07-07T06:55:11Z
dc.date.available2026-07-07T06:55:11Z
dc.descriptionWe 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.
dc.description23 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0512293
dc.identifierhttp://arxiv.org/abs/math/0512293
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106202
dc.subjectClassical Analysis and ODEs
dc.subject33C45; 33C47; 31A05; 26C10; 30C15; 42C05
dc.titleElectrostatic models for zeros of polynomials: old, new, and some open problems
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