Hankel Determinant for a Subclass of Starlike Functions with Respect to Symmetric Points Subordinate to the Exponential Function

被引：1

作者：

Li, Zongtao ^{[1
]}

Guo, Dong ^{[2
]}

Liang, Jinrong ^{[3
]}

机构：

[1] Guangzhou Civil Aviat Coll, Fac Humanities & Social Sci, Guangzhou 510403, Peoples R China

[2] Yangzhou Polytech Coll, Sch Math Sci, Yangzhou 225009, Peoples R China

[3] Chuzhou Polytech Coll, Dept Basic Disciplines, Chuzhou 239000, Peoples R China

来源：

SYMMETRY-BASEL | 2023年 / 15卷 / 08期

关键词：

analytic function; starlike functions with respect to symmetric points; Hankel determinant; exponential function;

D O I：

10.3390/sym15081604

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Let S-s(*) (e(z)) denote the class of starlike functions with respect to symmetric points subordinate to the exponential function, i.e., the functions which satisfy in the unit disk U the condition 2z f '(z)/f (z)-f (-z) < e(z) (z epsilon U). We obtained the sharp estimate of the second-order Hankel determinants H-2,H-3 (f) and improved the estimate of the third-order H-3,H-1 (f) for this functions class S-s(*) (e(z))

引用

页数：7

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