On Sufficient Conditions for p-valently Close-to-convexity

• 作 者: XUNeng
• 机 构: DepartmentofMathematics
• 出 处: 数学季刊：英文版
• 发表日期: 2003年3期
• 关键词: 解析函数 p叶近于凸性函数 充分条件 从属性 analytic functions p-valently close-to-convex ity functi

Let Ap(n)(p, n ∈ N = {1,2,…}) denote the class of functions of the form f(z) = z^p + ap+nZ^p+n +…which are analytic in the unit disc E = {z: | z |< 1}. By using the method of differential subordinations we give some sufficient conditions for a funct