On third Hankel determinants for subclasses of analytic functions and close-to-convex harmonic mappings

被引：7
作者：
Sun, Yong [1 ]
Wang, Zhi-Gang [2 ]
Rasila, Antti [3 ]
机构：
[1] Hunan Inst Engn, Sch Sci, Xiangtan 411104, Hunan, Peoples R China
[2] Hunan First Normal Univ, Sch Math & Comp Sci, Changsha 410205, Hunan, Peoples R China
[3] Aalto Univ, Dept Math & Syst Anal, POB 11100, FI-00076 Aalto, Finland
来源：
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2019年 / 48卷 / 06期
关键词：
Univalent function; starlike function; convex function; bounded turning function; close-to-convex function; harmonic mapping; Hankel determinant; FEKETE-SZEGO PROBLEM; UNIVALENT; COEFFICIENTS; INVERSE;
D O I：
10.15672/HJMS.2018.632
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we obtain the upper bounds to the third Hankel determinants for convex functions of order alpha and bounded turning functions of order alpha. Furthermore, several relevant results on a new subclass of close-to-convex harmonic mappings are obtained. Connections of the results presented here to those that can be found in the literature are also discussed.
引用
收藏
页码：1695 / 1705
页数：11
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