Some Coefficient Inequalities Related to the Hankel Determinant for a Certain Class of Close-to-convex Functions

被引：2
|
作者：
Sun, Yong [1 ]
Wang, Zhi-Gang [2 ]
机构：
[1] Hunan Inst Engn, Sch Sci, Xiangtan 411104, Hunan, Peoples R China
[2] Hunan First Normal Univ, Math & Comp Sci, Changsha 410205, Hunan, Peoples R China
来源：
KYUNGPOOK MATHEMATICAL JOURNAL | 2019年 / 59卷 / 03期
关键词：
coefficient inequality; Hankel determinant; Zalcman's conjecture; close-to-convex functions; FEKETE-SZEGO PROBLEM; ZALCMAN CONJECTURE; STARLIKE; INVERSE; BOUNDS;
D O I：
10.5666/KMJ.2019.59.3.481
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present paper, we investigate the upper bounds on third order Hankel determinants for certain class of close-to-convex functions in the unit disk. Furthermore, we obtain estimates of the Zalcman coefficient functional for this class.
引用
收藏
页码：481 / 491
页数：11
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