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Title:
Univalent Polynomials and Hubbard Trees
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Abstract:
We study the coefficient region for a family of ``external'' polynomials $\Sigma_d^*$ univalent in the external unit disc. We discuss a ``pinching" method for producing extremal points in the class $\Sigma_d^*$. We also discuss connections between the class $\Sigma_d^*$ and (1) parameter spaces of certain reflection groups, and (2) anti-holomorphic polynomials having a maximal number of fixed points. This is joint work with Nikolai Makarov and Sabyasachi Mukherjee.
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