Properties of New Holomorphic Mappings with Respect to Conic Domains

• 作者: Yan Yan CUI Yong Hong XIE He Ju YANG Yu Ying QIAO
• 来源期刊: 数学学报（英文版）
• 年，卷（期）: 2021,（6）
• 页码范围: 971-991
• 页数: 21页
• 语种: 英文

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, Spc (k,α) (Spc (k,α,β)), and discuss their coefficient estimates and the Fekete–Szeg?–Goluzin's problem. Then we generalize Spc (k,α,β) on the unit ball Bn in Cn, that is, k-conic spirallike mappings of type β and order α. We obtain the growth, covering and distortion theorems of the generalized mappings. Besides that, we construct k-conic spirallike mappings of type β and order α on Bn through Sc(k,α,β) by the generalized Roper-Suffridge extension operators.