有关Janowski型凸象函数的调和函数积分表达式和系数不等式  

On the integral representations and coefficient inequalities for harmonic functions of Janowski convex functions

作　　者：张晓丽 李书海 ZHANG Xiao-li;LI Shu-hai(School of Mathematics and Computer Science,Chifeng University,Chifeng 024000,China)

机构地区：[1]赤峰学院数学与计算机科学学院,内蒙古赤峰024000

出　　处：《西南民族大学学报（自然科学版）》2021年第1期103-110,共8页Journal of Southwest Minzu University(Natural Science Edition)

基　　金：内蒙古自然科学基金项目(2019MS01023);内蒙古高校科学研究重点项目(NJZZ19209)。

摘　　要：引进并研究一类解析部分由Janowski型凸象函数定义的调和函数f(z)=h(z)+g(z),利用解析函数的性质讨论调和函数的积分表达式和系数不等式.证明了调和函数的单叶近于凸性.利用h(z)和g(z)的关系,还得到了调和函数的稳定近于凸半径.所得结果改进并推广了一些已有的结果.This paper introduces and researches a class of harmonic functions f(z)=h(z)+g(z) whose analytic parts are defined by Janowski convex functions, and obtains integral representations and coefficient inequalities for harmonic functions by making use of properties of analytic functions. The univalent close-to-convex criterion of harmonic function is proved. This paper also obtains the stable close-to-convex radius for harmonic function by utilizing the relationship between h(z) and g(z).The results improve and generalize some known results.

关 键 词：调和函数 Janowski型凸象函数 积分表达式 系数不等式 

分 类 号：O174.51[理学—基础数学]