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Type: Artigo de periódico
Title: Inequalities For Zeros Of Jacobi Polynomials Via Sturm’s Theorem: Gautschi’s Conjectures
Author: Lun Y.C.
Rafaeli F.R.
Abstract: Let (formula presented) be the zeros of Jacobi polynomials (formula presented) arranged in decreasing order on (formula presented) where (formula presented) and (formula presented) arccos (formula presented) Gautschi, in a series of recent papers, conjectured that the inequalities (formula presented) and (formula presented) hold for all (formula presented) and certain values of the parameters α and β. We establish these conjectures for large domains of the (α, β)-plane by using a Sturmian approach.
Editor: Kluwer Academic Publishers
Rights: fechado
Identifier DOI: 10.1007/s11075-013-9807-7
Date Issue: 2014
Appears in Collections:Unicamp - Artigos e Outros Documentos

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