Zeros of polynomials orthogonal over regular N-gons

Authors:
V. Maymeskul;E. B. Saff
Affiliations:
Department of Mathematics, Vanderbilt University, Nashville, TN;Department of Mathematics, Vanderbilt University, Nashville, TN
Venue:
Journal of Approximation Theory
Year:
2003

Citing 3
Cited 1

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Abstract

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.