Univalent Functions with Half-Integral Coefficients

被引：3

作者：

Hiranuma, Naoki ^{[1
]}

Sugawa, Toshiyuki ^{[2
]}

机构：

[1] Sumitomo Life Insurance Co, Chuo Ku, Tokyo 1048430, Japan

[2] Tohoku Univ, Grad Sch Informat Sci, Aoba Ku, Sendai, Miyagi 9808579, Japan

来源：

COMPUTATIONAL METHODS AND FUNCTION THEORY | 2013年 / 13卷 / 01期

关键词：

Area theorem; Grunsky inequality;

D O I：

10.1007/s40315-013-0009-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

B. Friedman discovered in his 1946 paper that the set of analytic univalent functions on the unit disk in the complex plane with integral Taylor coefficients consists of nine functions. In the present paper, we prove that the similar set obtained by replacing "integral" by "half-integral" consists of another 12 functions in addition to the nine. We also observe geometric properties of the 12 functions.

引用

页码：133 / 151

页数：19

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