Browsing Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics by Subject "Zeros of polynomials"
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Article
Bergman polynomials on an archipelago: Estimates, zeros and shape reconstruction
(2009)Growth estimates of complex orthogonal polynomials with respect to the area measure supported by a disjoint union of planar Jordan domains (called, in short, an archipelago) are obtained by a combination of methods of ...
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Article
On the zeros of asymptotically extremal polynomial sequences in the plane
(2015)Let E be a compact set of positive logarithmic capacity in the complex plane and let {Pn(z)}1∞ be a sequence of asymptotically extremal monic polynomials for E in the sense that lim supn→∞{norm of matrix}Pn{norm of ...
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Article
Zero distribution of Bergman orthogonal polynomials for certain planar domains
(2003)Let G be a simply connected domain in the complex plane bounded by a closed Jordan curve L and let Pn, n ≥ 0, be polynomials of respective degrees n = 0, 1,... that are orthonormal in G with respect to the area measure ...