论文标题
逆功能的家族：系数机构和fekete--szegö问题
Families of inverse functions: coefficient bodies and the Fekete--Szegö problem
论文作者
论文摘要
在本文中，我们为各种反函数家族建立了系数体。我们还完全描述了在小维度中提供边界点的功能。作为一个应用程序，我们在准求解以及其倒置类别定义的某些类别的函数上获得了fekete-szegö的功能。作为两种形式，我们得出了一个似乎是新的普通钟形多项式的公式。
In this paper we establish the coefficient bodies for a wide class of families of inverse functions. We also completely describe those functions that provide boundary points of that bodies in small dimensions. As an application we get sharp bounds for Fekete--Szegö functionals over some classes of functions defined by quasi-subordination as well as over classes of their inverses. As a biproduct we derive a formula for ordinary Bell polynomials that seems to be new.
