Second Hankel Determinant for a Certain Subclass of Bi-univalent Functions

被引：11

作者：

Mustafa, Nizami ^{[1
]}

Mrugusundaramoorthy, Gangadharan ^{[2
]}

Janani, Thambidurai ^{[2
]}

机构：

[1] Kafkas Univ, Fac Sci & Letters, Dept Math, TR-36100 Kars, Turkey

[2] VIT Univ, Sch Adv Sci, Vellore 632014, Tamil Nadu, India

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2018年 / 15卷 / 03期

关键词：

Univalent function; analytic function; bi-univalent function; Hankel determinant; COEFFICIENT; INVERSE; BOUNDS;

D O I：

10.1007/s00009-018-1165-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a subclass of analytic and bi-univalent functions in the open unit disk. Here, we give upper bound estimates for the second Hankel determinant of the functions that belong to this class. Some interesting applications and conclusions of the results obtained in this paper are also discussed.

引用

页数：17

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