ON THE LOGARITHMIC COEFFICIENTS OF CLOSE TO CONVEX FUNCTIONS

被引：39
|
作者：
Thomas, D. K. [1 ]
机构：
[1] Swansea Univ, Dept Math, Singleton Pk, Swansea SA2 8PP, W Glam, Wales
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2016年 / 144卷 / 04期
关键词：
Univalent functions; close to convex functions; logarithmic coefficients; UNIVALENT-FUNCTIONS;
D O I：
10.1090/proc/12921
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For f analytic and close to convex in D = {z : vertical bar z vertical bar < 1}, we give sharp estimates for the logarithmic coefficients gamma(n) of f defined by log f(z)/z = 2 Sigma(infinity)(n=1) gamma(n)z(n) when n = 1, 2, 3.
引用
收藏
页码：1681 / 1687
页数：7
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