HANKEL DETERMINANTS FOR STARLIKE FUNCTIONS WITH RESPECT TO SYMMETRICAL POINTS

被引：1
作者：
Cho, Nak Eun [1 ]
Sim, Young Jae [2 ]
Thomas, Derek K. [3 ]
机构：
[1] Pukyong Natl Univ, Dept Appl Math, Busan 48513, South Korea
[2] Kyungsung Univ, Dept Appl Math, Busan 48434, South Korea
[3] Swansea Univ, Dept Math, Bay Campus, Swansea SA1 8EN, Wales
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2023年 / 60卷 / 02期
基金：
新加坡国家研究基金会;
关键词：
Starlike functions; close-to-convex functions; Hankel determi-nant; coefficient problems; COEFFICIENTS;
D O I：
10.4134/BKMS.b220149
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove sharp bounds for Hankel determinants for starlike functions f with respect to symmetrical points, i.e., f given by f(z) = z + �& INFIN; n=2 anzn for z & ISIN; D satisfying zf & PRIME;(z) Re f(z) - f(-z) > 0, z & ISIN; D. We also give sharp upper and lower bounds when the coefficients of f are real.
引用
收藏
页码：389 / 404
页数：16
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