Title
Zeros of Gegenbauer and Hermite polynomials and connection coefficients
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.
Year
DOI
Venue
2004
10.1090/S0025-5718-04-01642-4
MATHEMATICS OF COMPUTATION
Keywords
Field
DocType
orthogonal polynomials,zeros of Gegenbauer polynomials,zeros of Hermite polynomials,connection coefficients
Wilson polynomials,Classical orthogonal polynomials,Orthogonal polynomials,Mathematical analysis,Gegenbauer polynomials,Discrete orthogonal polynomials,Jacobi polynomials,Hahn polynomials,Mathematics,Difference polynomials
Journal
Volume
Issue
ISSN
73
248
0025-5718
Citations 
PageRank 
References 
8
1.48
1
Authors
4
Name
Order
Citations
PageRank
Iván Area1235.48
Dimitar Dimitrov237649.21
Eduardo Godoy3186.92
A. RONVEAUX4249.81