Zeros of Gegenbauer and Hermite polynomials and connection coefficients

Area, I; Dimitrov, D. K.; Godoy, E.; Ronveaux, A.

Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/21727

Title:

Zeros of Gegenbauer and Hermite polynomials and connection coefficients

Author(s):

Institution:

Univ Vigo
Universidade Estadual Paulista (UNESP)
Univ Catholique Louvain

ISSN:

0025-5718

Abstract:

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.

Issue Date:

1-Jan-2004

Citation:

Mathematics of Computation. Providence: Amer Mathematical Soc, v. 73, n. 248, p. 1937-1951, 2004.

Time Duration:

1937-1951

Publisher:

Amer Mathematical Soc

Keywords:

Orthogonal polynomials
zeros of Gegenbauer polynomials
zeros of Hermite polynomials
connection coefficients

Source:

http://dx.doi.org/10.1090/S0025-5718-04-01642-4

URI:

Access Rights:

Acesso aberto

Type:

outro

Source:

http://repositorio.unesp.br/handle/11449/21727

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