Zeros of polynomials orthogonal over regular N-gons

We investigate the location of zeros of Bergman polynomials (orthogonal polynomials with respect to area measure) for regular N-gons in the plane. In particular, we prove two conjectures posed by Eiermann and Stahl. Furthermore, we give some consequences regarding the asymptotic behavior of such Ber...

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Bibliographic Details
Published in:Journal of approximation theory 2003-05, Vol.122 (1), p.129-140
Main Authors: Maymeskul, V., Saff, E.B.
Format: Article
Language:English
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Summary:We investigate the location of zeros of Bergman polynomials (orthogonal polynomials with respect to area measure) for regular N-gons in the plane. In particular, we prove two conjectures posed by Eiermann and Stahl. Furthermore, we give some consequences regarding the asymptotic behavior of such Bergman polynomials.
ISSN:0021-9045
1096-0430
DOI:10.1016/S0021-9045(03)00039-X