Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/352558
Type: Artigo
Title: Monotonicity, interlacing and electrostatic interpretation of zeros of exceptional Jacobi polynomials
Author: Dimitrov, Dimitar K.
Lun, Yen Chi
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
Subject: Jacobi, Polinômios de
Polinômios ortogonais
Eletrostática
Country: Estados Unidos
Editor: Academic Press
Rights: Fechado
Identifier DOI: 10.1016/j.jat.2014.01.007
Address: https://www.sciencedirect.com/science/article/pii/S0021904514000136
Date Issue: 2014
Appears in Collections:IMECC - Artigos e Outros Documentos

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