具有负系数星像函数类子集的积分不等式  

Integral Means for Starlike Functions with Negative Coefficients

作　　者：陈建兰[1] 刘金林[2] 

机构地区：[1]南通航运职业技术学院,江苏南通226010 [2]扬州大学数学科学学院,江苏扬州225002

出　　处：《科技通报》2016年第3期14-16,共3页Bulletin of Science and Technology

摘　　要：T是由具有负系数且在单位开圆U={z:|z|<1}内解析单叶的函数:即形如f(z)=z-∞∑n=2a^nz^n的函数组成的集合,T*是T的子集且满足Re{zf'(z)/f(z)}>0,即T*中的函数是星像的。本文讨论了T*中函数的一般性积分不等式。Let T be the class of functions f (z) with negative coefficients which are analytic and univalent in the open unit disk U={z:|z|<1} with the form f ( z )=z-∑∞ an zn .The classes T* are n=2 defined as the subclasses of T which are starlike and satisfy Re{zf'(z)}f (z) >0 .In this paper ,some generalization theorems with the subclasses are discussed .

关 键 词：解析函数 星像函数 从属关系 积分不等式 

分 类 号：O241.4[理学—计算数学]