Zeros of Gegenbauer and Hermite polynomials and connection coefficients-Reference-Cited by-同舟云学术

Zeros of Gegenbauer and Hermite polynomials and connection coefficients

Published:2004-03-23 Issue:248 Volume:73 Page:1937-1951
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Area Iván,Dimitrov Dimitar,Godoy Eduardo,Ronveaux André

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/2004-73-248/S0025-5718-04-01642-4/S0025-5718-04-01642-4.pdf

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4. Connection coefficients and zeros of orthogonal polynomials;Dimitrov, Dimitar K.;J. Comput. Appl. Math.,2001

5. On the behaviour of zeros of Jacobi polynomials;Dimitrov, Dimitar K.;J. Approx. Theory,2002

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