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Type: Artigo
Title: Asymptotic behaviour of Jacobi polynomials and their zeros
Author: Dimitrov, Dimitar K.
dos Santos, Eliel J. C.
Abstract: We obtain the explicit form of the expansion of the Jacobi polynomial P-n((alpha, beta)) (1 - 2x/beta) in terms of the negative powers of beta. It is known that the constant term in the expansion coincides with the Laguerre polynomial L-n((alpha))(x). Therefore, the result in the present paper provides the higher terms of the asymptotic expansion as beta -> infinity. The corresponding asymptotic relation between the zeros of Jacobi and Laguerre polynomials is also derived
Subject: Polinômios de Jacobi
Country: Estados Unidos
Editor: American Mathematical Society
Rights: Fechado
Identifier DOI: 10.1090/proc/12689
Date Issue: 2016
Appears in Collections:IMECC - Artigos e Outros Documentos

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