Majorization Results and Coefficients Bounds for a Class of Univalent Functions Associated with Operator  

作　　者：XIONG Liang-peng 

机构地区：[1]School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China [2] Engineering andTechnical College, Chengdu University of Technology, Leshan 614007, China

出　　处：《Chinese Quarterly Journal of Mathematics》2017年第2期142-151,共10页数学季刊（英文版）

基　　金：Supported by the Scientific Research Found of Education Department of Sichuan Province(14ZB0364)

摘　　要：In this paper we introduce a new general subclass n,G∑ a,λ(A, B, α) of univalent functions related the known integral operator and differential operator. Some majorization results for n,G∑ a,λ(A, B, 1) as well as the other functions are given. Furthermore, we find the coefficients bounds on |a_2| and |a_3| for functions in*n,G∑ a,λ(A_1, B_1, A_2, B_2, α_1, α_2), which is the bi-univalent functions defined by n,G ∑a,λ(A, B, α) and subordination. By giving specific values of the parameters of our main results, several(known or new) consequences of main results are also discussed.In this paper we introduce a new general subclass ∑ a, λ n,y （A, B, a） of univalent functions related the known integral operator and differential operator. Some majorization results for ∑ a,λ n,y （A, B, 1） as well as the other functions are given. Furthermore, we find the coefficients bounds on ｜a2｜ and ｜a3｜ for functions in ∑ a,λ n,y （A,B,a） and subordination. By giving specific values of the parameters of our main results, several（known or new） consequences of main results are also discussed.

关 键 词：analytic functions integral operator majorization SUBORDINATION bi-univalent functions 

分 类 号：O174.51[理学—数学]