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Type: Artigo de periódico
Title: Monotonicity, interlacing and electrostatic interpretation of zeros of exceptional Jacobi polynomials
Author: Dimitrov, DK
Lun, YC
Abstract: 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.
Subject: X-1 Jacobi polynomials
Orthogonal polynomials
Electrostatic interpretation
Country: EUA
Editor: Academic Press Inc Elsevier Science
Rights: fechado
Identifier DOI: 10.1016/j.jat.2014.01.007
Date Issue: 2014
Appears in Collections:Unicamp - Artigos e Outros Documentos

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