| 算子In在解析函数上的应用 |
| |
| 引用本文： | 童东付. 算子In在解析函数上的应用[J]. 西南师范大学学报(自然科学版), 2012, 37(2): 26-28 |
| |
| 作者姓名： | 童东付 |
| |
| 作者单位： | 淮阴师范学院数学与科学学院 |
| |
| 摘 要： | 定义了算子In:Inf=f(-1)n*f=[z/(1-z)n+1](-1)*f利用算子In刻画了4个函数类的新子类,证明了:S*n(γ)S*n+1(γ),Cn(γ)Cn+1(γ),Kn(β,γ)Kn+1(β,γ),K*n(β,γ)K*n+1(β,γ).
|
| 关 键 词： | 解析函数 星形函数 凸函数 Noor算子 近于凸函数 拟凸函数 |
Some Applications of the In Operator in Analytic Functions |
| |
| TONG Dong-fu. Some Applications of the In Operator in Analytic Functions[J]. Journal of southwest china normal university(natural science edition), 2012, 37(2): 26-28 |
| |
| Authors: | TONG Dong-fu |
| |
| Affiliation: | TONG Dong-fu School of Mathematical Science,Huaiyin Normal University,Huai’an Jiangsu 223300,China |
| |
| Abstract: | In this paper,operator In is defined as Inf=f(-1)n*f=[z/(1-z)n+1](-1)*f Then taking advantage of operator In,the new subclasses of the above-mentioned 4 classes are characterized.The following relations of these subclasses are proved: S*n(γ)S*n+1(γ),Cn(γ)Cn+1(γ),Kn(β,γ)Kn+1(β,γ),and K*n(β,γ)K*n+1(β,γ). |
| |
| Keywords: | analytic function starlike function convex function Noor operator close-to-convex function quasi-convex function |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《西南师范大学学报(自然科学版)》浏览原始摘要信息 |
|
点击此处可从《西南师范大学学报(自然科学版)》下载全文 |
|
