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Zeros of Gegenbauer and Hermite polynomials and connection coefficients

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Area, I. Dimitrov, DK Godoy, E. Ronveaux, Andre [UCL]

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.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès restreint
Publication date 2004
Language Anglais
Journal information "Mathematics of Computation" - Vol. 73, no. 248, p. 1937-1951 (2004)
Peer reviewed yes
Publisher Amer Mathematical Soc (Providence)
issn 0025-5718
e-issn 1088-6842
Publication status Publié
Affiliation UCL
Keywords orthogonal polynomials ; zeros of Gegenbauer polynomials ; zeros of Hermite polynomials ; connection coefficients
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Bibliographic reference Area, I. ; Dimitrov, DK ; Godoy, E. ; Ronveaux, Andre. Zeros of Gegenbauer and Hermite polynomials and connection coefficients. In: Mathematics of Computation, Vol. 73, no. 248, p. 1937-1951 (2004)
Permanent URL http://hdl.handle.net/2078.1/40127