Upper Bound of Second Hankel Determinant for Certain Subclasses of Analytic Functions

被引：29
作者：
Liu, Ming-Sheng [1 ]
Xu, Jun-Feng [2 ]
Yang, Ming [1 ]
机构：
[1] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
[2] Wuyi Univ, Dept Math, Jiangmen 529020, Guangdong, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2014年
关键词：
COEFFICIENT BOUNDS; UNIVALENT; STARLIKE; INVERSE;
D O I：
10.1155/2014/603180
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this present investigation, we first give a survey of the work done so far in this area of Hankel determinant for univalent functions. Then the upper bounds of the second Hankel determinant vertical bar a(2)a(4) - a(3)(2)vertical bar for functions belonging to the subclasses S(alpha,beta), K(alpha,beta), S-s(*)(alpha, beta), and K-s(alpha, beta) of analytic functions are studied. Some of the results, presented in this paper, would extend the corresponding results of earlier authors.
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页数：10
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