Fekete-Szego Inequalities for Starlike Functions with respect to k-Symmetric Points of Complex Order

被引：4

作者：

Aouf, M. K. ^{[1
]}

El-Ashwah, R. M. ^{[2
]}

EL-Deeb, S. M. ^{[2
]}

机构：

[1] Mansoura Univ, Fac Sci, Dept Math, Mansoura, Egypt

[2] Damietta Univ, Fac Sci, Dept Math, New Damietta 34517, Egypt

来源：

JOURNAL OF COMPLEX ANALYSIS | 2014年

关键词：

D O I：

10.1155/2014/131475

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Sharp upper bounds of |a(3) - mu a(2)(2)| for the function f(z) = z + Sigma(infinity)(m=2)a(m)z(m) elonging to certain subclass of starlike functions with respect to k-symmetric points of complex order are obtained. Also, applications of our results to certain functions defined through convolution with a normalized analytic function are given. In particular, Fekete-Szego inequalities for certain classes of functions defined through fractional derivatives are obtained.

引用

页数：10

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