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math.CV2008★ 1 cited
Bergman polynomials on an Archipelago: Estimates, Zeros and Shape Reconstruction
Bjorn Gustafsson, Mihai Putinar, Ed Saff +1
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 ob…
math-ph2008★ 33 cited
The Riesz energy of the -th roots of unity: an asymptotic expansion for large
J. S. Brauchart, D. P. Hardin, E. B. Saff
We derive the complete asymptotic expansion in terms of powers of for the Riesz -energy of equally spaced points on the unit circle as . For , such…
math.CA2008
Ratios of Norms for Polynomials and Connected n-width Problems
V. A. Prokhorov, E. B. Saff, M. Yattselev
Let G be a bounded simply connected domain and E be a regular compact subset of G with connected complement. We investigate the asymptotic behavior of the Kolmogorov k-width, k=k(n…