Zeros of Gegenbauer and Hermite polynomials and connection coefficients
| Contribuinte(s) |
Universidade Estadual Paulista (UNESP) |
|---|---|
| Data(s) |
20/05/2014
20/05/2014
01/01/2004
|
| 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. |
| Formato |
1937-1951 |
| Identificador |
http://dx.doi.org/10.1090/S0025-5718-04-01642-4 Mathematics of Computation. Providence: Amer Mathematical Soc, v. 73, n. 248, p. 1937-1951, 2004. 0025-5718 http://hdl.handle.net/11449/21727 10.1090/S0025-5718-04-01642-4 WOS:000222002400018 |
| Idioma(s) |
eng |
| Publicador |
Amer Mathematical Soc |
| Relação |
Mathematics of Computation |
| Direitos |
openAccess |
| Palavras-Chave | #Orthogonal polynomials #zeros of Gegenbauer polynomials #zeros of Hermite polynomials #connection coefficients |
| Tipo |
info:eu-repo/semantics/article |
