Properties of New Holomorphic Mappings with Respect to Conic Domains  

作　　者：Yan Yan CUI Yong Hong XIE He Ju YANG Yu Ying QIAO 

机构地区：[1]College of Mathematics and Statistics,Zhoukou Normal University,Zhoukou 466001,P.R.China [2]College of Mathematics and Information Science,Hebei Normal University,Shijiazhuang 050024,P.R.China [3]College of Science,Hebei University of Science and Technology,Shijiazhuang 050024,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2021年第6期971-991,共21页数学学报（英文版）

基　　金：Supported by NSF of China(Grant Nos.11571089,11871191);Science and Technology Research Projects of He’nan Provincial Education Department(Grant No.17A110041);the key Foundation of Hebei Normal University(Grant No.L2018Z01);Scientific Research Fund of High Level Talents of Zhoukou Normal University(Grant No.ZKNUC2019004)。

摘　　要：This paper is mainly about holomorphic mappings associated with conic regions which are closely connected with k-ST(α).We introduce new subclasses of starlike(spirallike)functions,namely,S^(p)_(c)(k,α)(S^(p)_(c)(k,α,β)),and discuss their coefficient estimates and the Fekete–Szego–Goluzin’s problem.Then we generalize S^(p)_(c)(k,α,β)on the unit ball B^(n) in C^(n),that is,k-conic spirallike mappings of typeβand orderα.We obtain the growth,covering and distortion theorems of the generalized mappings.Besides that,we construct k-conic spirallike mappings of typeβand orderαon B^(n) through S_(c)(k,α,β)by the generalized Roper-Suffridge extension operators.

关 键 词：Holomorphic mappings coefficient estimates growth theorems Roper-Suffridge operators 

分 类 号：O174[理学—数学]