Zeros of orthogonal polynomials on the real line / Zeros de polinomios ortogonais na reta real
AUTOR(ES)
Fernando Rodrigo Rafaeli
DATA DE PUBLICAÇÃO
2010
RESUMO
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
ASSUNTO(S)
orthogonal polynomials polinomios ortogonais
