Third Hankel Determinant for Ma-Minda Bi-univalent Functions  

作　　者：Haiyan ZHANG Huo TANG 

机构地区：[1]School of Mathematics and Computer Science, Chifeng University

出　　处：《Journal of Mathematical Research with Applications》2019年第4期361-377,共17页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant Nos.11561001; 11271045);the Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region(Grant No.NJYT-18-A14);the Natural Science Foundation of Inner Mongolia(Grant No.2018MS01026);the Higher School Foundation of Inner Mongolia(Grant Nos.NJZY17300; NJZY17301);the Natural Science Foundation of Chifeng of Inner Mongolia

摘　　要：In this paper, we investigate the third Hankel determinant H3(1) for the class Hσμ(λ,φ)(λ≥ 1,μ≥ 1) of Ma-Minda bi-univalent functions in the open unit disk D ={z :|z|<1} and obtain the upper bound of the above determinant H3(1).In this paper, we investigate the third Hankel determinant H3（1） for the class Hσμ（λ, φ）（λ ≥ 1, μ ≥ 1） of Ma-Minda bi-univalent functions in the open unit disk D = {z : |z| <1} and obtain the upper bound of the above determinant H3（1）.

关 键 词：analytic FUNCTION HANKEL DETERMINANT Ma-Minda bi-univalent FUNCTION upper bound 

分 类 号：O1[理学—数学]