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|Type:||Artigo de periódico|
|Title:||Inequalities For Zeros Of Jacobi Polynomials Via Sturm’s Theorem: Gautschi’s Conjectures|
|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|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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