星像函数k-次变换的Hankel行列式  

Hankel determinant for the k-th root transform of Starlike function

作　　者：郭栋[1] 李宗涛[2] GUO Dong;LI Zongtao(Foundation Department,Chuzhou Vocational And Technical College,239000,Chuzhou,Anhui;Guangzhou Civil Aviation College,510403,Guangzhou,Guangdong,PRC)

机构地区：[1]滁州职业技术学院基础部,安徽省滁州市239000 [2]广州民航职业技术学院,广东省广州市510403

出　　处：《曲阜师范大学学报（自然科学版）》2020年第4期41-46,共6页Journal of Qufu Normal University(Natural Science)

基　　金：The Natural Science Foundation of Anhui Provincial Department of Education(KJ2018A0833;KJ2018A0839);Provincial quality engineering project of Anhui colleges and universities(2018mooc608);the key Cultivated Project at School Level of the National Science Fund of Guangzhou Civil Aviation College(18X0428;18X0433).

摘　　要：研究了星像函数k-次变换的二阶和三阶Hankel行列式.The objective of this paper is to obtain upper bounds for the second and third Hankel functions associated with the k-th root transform[f(z k)]1/k of normalized analytic function f when it belongs to starlike function.

关 键 词：单叶函数 星像函数 Hankel行列式 k-次变换 

分 类 号：O174.51[理学—数学]