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 |
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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 Area | 1 | 23 | 5.48 |
Dimitar Dimitrov | 2 | 376 | 49.21 |
Eduardo Godoy | 3 | 18 | 6.92 |
A. RONVEAUX | 4 | 24 | 9.81 |