Zeros of Gegenbauer and Hermite polynomials and connection coefficients
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Data
2004-01-01
Autores
Area, I
Dimitrov, D. K.
Godoy, E.
Ronveaux, A.
Título da Revista
ISSN da Revista
Título de Volume
Editor
Amer Mathematical Soc
Resumo
In this paper, sharp upper limit for the zeros of the ultraspherical polynomials are obtained via a result of Obrechkoff and certain explicit connection coefficients for these polynomials. As a consequence, sharp bounds for the zeros of the Hermite polynomials are obtained.
Descrição
Palavras-chave
Orthogonal polynomials, zeros of Gegenbauer polynomials, zeros of Hermite polynomials, connection coefficients
Como citar
Mathematics of Computation. Providence: Amer Mathematical Soc, v. 73, n. 248, p. 1937-1951, 2004.