受限导数算子Janowski型函数族几何性质  

Some Geometric Properties for a Class of Janowski Functions Defined by a Derivative Operator

作　　者：宋丽丽[1] SONG Lili(The Engineering & Technical College of Chengdu University of Technology,Leshan 614007,Sichuan)

机构地区：[1]成都理工大学工程技术学院

出　　处：《四川师范大学学报（自然科学版）》2019年第4期523-527,共5页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(61603060);四川省教育厅自然科学研究一般项目(14ZB0364)

摘　　要：用从属技术定义一类受限于导数算子的新Janowski型函数族,讨论得到此族包含关系的半径值、恰好系数边界及恰好偏差估计.进一步,确定隶属于该族的函数平方根的实部不等式.指定特殊的参数,得到许多相关族类新的几何性质,部份重要结果是对先前已有关联研究成果的直接推广.In this paper, a new general class of Janowski functions is introduced by using a known derivative operator and subordination. Some properties such as the radius with inclusion relations, sharp coefficient bounds and sharp distortion theorems are studied. Furthermore, a real part inequality of the square root of the functions related our main class are presented. Several useful consequences and earlier results associated with this main works are pointed out by choosing special parameters.

关 键 词：Janowski函数 系数边界 偏差定理 导数算子 从属 

分 类 号：O174.51[理学—数学]