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基于Salagean算子的bi-单叶函数系数估计
Coefficient Estimates for Class of Bi-Univalent Functions Defined by Salagean Operator
【摘要】 讨论和研究了受限于Salagean算子且同时满足:1+1/b((Dn+1f(z)/(Dnf(z)))-1)<φ(z)和1+1/b((Dn+1f-1(ω)/(Dnf-1(ω))-1)<Ψ(ω)的bi-单叶解析函数的系数估计问题,这里φ(z)和Ψ(ω)为正实部函数.主要的研究结果直接推广了先前相应工作.
【Abstract】 In this paper,we discuss the coefficient estimates for a class of bi-univalent functions with the Salagean operator and satisfying the conditions:1 + 1/b((Dn+1f(z))/(Dnf(z))-1)<φ(z)and 1 + 1/b((Dn+1f-1(ω))/(Dnf-1(ω))-1)<Ψ(ω),where φ(z) and Ψ(ω) are usual functions with positive real part.This results obtained extend earlier known works.
【关键词】 解析函数;
Bi-单叶函数;
正实部函数;
Salagean算子;
系数估计;
从属;
【Key words】 analytic function; bi-univalent function; function with positive real part; salagean operator; coefficient estimates; subordination;
【Key words】 analytic function; bi-univalent function; function with positive real part; salagean operator; coefficient estimates; subordination;
【基金】 四川省教育厅一般科研研项目(14ZB0364)
- 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2015年03期
- 【分类号】O174.51
- 【被引频次】6
- 【下载频次】56