Third Hankel Determinant for the Inverse of Starlike and Convex Functions  

作　　者：Guo Dong Ao En Tang Huo Xiong Liang-peng Ji You-qing 

机构地区：[1]Foundation Department,Chuzhou Vocational and Technical College,Chuzhou,Anhui,239000 [2]School of Mathematics and Statistics,Chifeng University,Chifeng,Inner Mongolia,024000 [3]School of Mathematics and Statistics,Wuhan University,Wuhan,430072 [4]不详

出　　处：《Communications in Mathematical Research》2019年第4期354-358,共5页数学研究通讯（英文版）

基　　金：The NSF(11561001)of China;the NSF(2014MS0101)of Inner Mongolia Province;the Higher School Foundation(NJZY19211)of Inner Mongolia of China;the NSF(KJ2018A0839,KJ2018A0833)of Anhui Provincial Department of Education

摘　　要：Denote S to be the class of functions which are analytic,normalized and univalent in the open unit disk U={z:|z|<1}.The important subclasses of S are the class of starlike and convex functions,which we denote by S and C.In this paper,we obtain the third Hankel determinant for the inverse of functions f(z)=z+∞Σn=2 anz^n belonging to S^*and C.Denote S to be the class of functions which are analytic, normalized and univalent in the open unit disk U = {z : |z| < 1}. The important subclasses of S are the class of starlike and convex functions, which we denote by S~* and C.In this paper, we obtain the third Hankel determinant for the inverse of functions ■ elonging to S~* and C.

关 键 词：analytic FUNCTION THIRD HANKEL DETERMINANT INVERSE of STARLIKE FUNCTION INVERSE of convex FUNCTION 

分 类 号：O1[理学—数学]