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Sharpness of connectivity bounds for quadrature domains

Complex Variables 2014-11-14 v1

Abstract

In this paper we prove the sharpness of connectivity bounds established in [15]. The proof depends on some facts in the theory of univalent polynomials. We also discuss applications to the equation r(z)=zˉr(z)=\bar z where rr is a rational function.

Keywords

Cite

@article{arxiv.1411.3415,
  title  = {Sharpness of connectivity bounds for quadrature domains},
  author = {Seung-Yeop Lee and Nikolai Makarov},
  journal= {arXiv preprint arXiv:1411.3415},
  year   = {2014}
}

Comments

35 pages, 11 figures