曲阜师范大学学报（自然科学版）2025，Vol.51Issue(4)：73-80,8.DOI:10.3969/j.issn.1001-5337.2025.4.073
一类单叶函数对数系数的三阶Hankel行列式
Third Hankel determinant for logarithmic coefficients of a class of univalent functions
摘要
Abstract
Let the family of all functions f be denoted by H which are analytic in an open unit disc D={z ∈C:|z|＜1} with Taylor series expansion:f(z)=z+∞∑n=2anzn,z∈C.A class of analytic functions ST(i)which are defined on the open unit disc D is introduced,that is ST(i)={f:Re{(1-z2)f(z)/z}＞0,f∈H,z∈D}.Upper bounds on third hankel determinant for logarithmic coefficients and Zalcman functionalsJ2,4(f),J3,3(f),J 3,4(f)are investigated.Part of the upper bounds are accurate.关键词
单叶函数/Hankel行列式/对数系数/Zalcman泛函Key words
univalent functions/Hankel determinant/logarithmic coefficients/Zalcman functionals分类
数理科学引用本文复制引用
郭栋,李宗涛,傅秀莲,王庆..一类单叶函数对数系数的三阶Hankel行列式[J].曲阜师范大学学报（自然科学版）,2025,51(4):73-80,8.基金项目
安徽省高校自然科学基金(KJ2020A0993) （KJ2020A0993）
广东工贸职业技术学院科研项目(2023-ZKJ-08). （2023-ZKJ-08）
