Orthogonal polynomials on the real line and on the unit circle.
Zeros of orthogonal polynomials: electrostatic interpretation
Sobolev orthogonal polynomials associated to a non coherent pair of measures: zero...
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Zeros of orthogonal polynomials on the real line
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| Author(s): |
Fernando Rodrigo Rafaeli
Total Authors: 1
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| Document type: | Doctoral Thesis |
| Press: | Campinas, SP. |
| Institution: | Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica |
| Defense date: | 2010-02-26 |
| Examining board members: |
Dimitar Kolev Dimitrov;
Jorge Mujica;
Edmundo Capelas de Oliveira;
Alagacone Sri Ranga;
Valdir Antonio Menegatto
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| Advisor: | Roberto Andreani; Dimitar Kolev Dimitrov |
| Abstract | |
Results concerning the behaviour of zeros of orthogonal polynomials are obtained. It is known that they are real and distinct and play as important role as node of the most frequently used rules for numerical integration, the Gaussian quadrature formulae. Result about the location and monotonicity of the zeros, considered as functions of parameters involved in the measure, are provided. We present various results that treat questions about location, monotonicity and asymptotics of zeros of certain classes of orthogonal polynomials with respect to measure that are closely related to the classical ones (AU) | |