Publicação: Monotonicity, interlacing and electrostatic interpretation of zeros of exceptional Jacobi polynomials
Carregando...
Data
Autores
Orientador
Coorientador
Pós-graduação
Curso de graduação
Título da Revista
ISSN da Revista
Título de Volume
Editor
Elsevier B.V.
Tipo
Artigo
Direito de acesso
Acesso restrito
Resumo
Denote by (P) over cap ((alpha,beta))(n) (x) the X-1-Jacobi polynomial of degree n. These polynomials were introduced and studied recently by Gomez-Ullate, Kamran and Milson in a series of papers. In this note we establish some properties of the zeros of (P) over cap ((alpha,beta))(n) (x), such as interlacing and monotonicity with respect to the parameters a and beta. They turn out to possess an electrostatic interpretation. The vector, whose components are the zeros, is a saddle point of the energy of the corresponding logarithmic field. (c) 2014 Elsevier Inc. All rights reserved.
Descrição
Palavras-chave
X-1 Jacobi polynomials, Orthogonal polynomials, Zeros, Electrostatic interpretation
Idioma
Inglês
Como citar
Journal Of Approximation Theory. San Diego: Academic Press Inc Elsevier Science, v. 181, p. 18-29, 2014.
