Zeros of Gegenbauer and Hermite polynomials and connection coefficients
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Undergraduate course
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Publisher
Amer Mathematical Soc
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Article
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Acesso aberto
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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.
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Keywords
Orthogonal polynomials, zeros of Gegenbauer polynomials, zeros of Hermite polynomials, connection coefficients
Language
English
Citation
Mathematics of Computation. Providence: Amer Mathematical Soc, v. 73, n. 248, p. 1937-1951, 2004.
