Abstract

On the class of holomorphic self-mappings of the unit disk with an internal and a boundary fixed point, we consider the problem of describing the domains of Taylor coefficients depending on the values of the angular derivative at the boundary fixed point. An optimal horocycle containing the domain of the second coefficient is found.

中文翻译：

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具有两个不动点的盘到自身的全纯映射的第二系数的估计

摘要

在具有内部和边界不动点的单位圆盘的全纯自映射类上，我们考虑根据边界不动点处的角导数值来描述泰勒系数域的问题。找到包含第二个系数的域的最佳星环。