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近于凸函数的系数不等式
牛潇萌^1,2, 李书海^1,2, 汤获^1,2
1.赤峰学院数学与统计学院, 内蒙古赤峰 024000;2.赤峰学院应用数学研究所, 内蒙古赤峰 024000

摘要:

本文研究了近于凸函数的新子类.利用从属关系的方法，获得了这些子类的系数不等式，推广了一些已知结果并获得了新结果.

关键词: 解析函数近于凸一致凸从属系数不等式

DOI：

分类号:O174.51

基金项目:Supported by National Natural Science Foundation of China (11561001); Natural Science Foundation of Inner Mongolia (2014MS0101) and the Higher School Foundation of Inner Mongolia Province (NJZY16251; NJZY18217).

THE COEFFICIENT INEQUALITY OF RELATED TO CLOSE-TO-CONVEX FUNCTIONS

NIU Xiao-meng^1,2, LI Shu-hai^1,2, TANG Huo^1,2

1.School of Mathematics and Statistics, Chifeng University, Chifeng 024000, China;2.Institute of Applied Mathematics, Chifeng University, Chifeng 024000, China

Abstract:

In this paper, we introduce some new subclasses of close-to-convex functions. By using subordination relationship, we give coefficient inequalities of these subclasses, which generalizes some known results and interesting new results are obtained.

Key words: analytic functions close-to-convex uniformly convex subordination coefficient inequalities