Artículos de revistas
Zeros of Gegenbauer and Hermite polynomials and connection coefficients
Fecha
2004-01-01Registro en:
Mathematics of Computation. Providence: Amer Mathematical Soc, v. 73, n. 248, p. 1937-1951, 2004.
0025-5718
10.1090/S0025-5718-04-01642-4
WOS:000222002400018
1681267716971253
Autor
Univ Vigo
Universidade Estadual Paulista (Unesp)
Univ Catholique Louvain
Institución
Resumen
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.