Relations of a planar domains bounded by hyperbolas with families of holomorphic functions

被引：23

作者：

Kanas, S. ^{[1
]}

Masih, V. S. ^{[2
]}

Ebadian, A. ^{[3
]}

机构：

[1] Univ Rzeszow, Rzeszow, Poland

[2] PNU, Dept Math, POB 19395-3697, Tehran, Iran

[3] Urmia Univ, Fac Sci, Dept Math, Orumiyeh, Iran

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2019年 / 2019卷 / 01期

关键词：

Univalent functions; Subordination; Starlike and convex functions; Domain bounded by hyperbola;

D O I：

10.1186/s13660-019-2190-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a family of analytic and normalized functions with the property that zf'(z)/f (z) (or 1+ zf ''(z)/f'(z)) lies in a domain bounded by a right branch of a hyperbola rho = rho(s) = (2 cos phi/s)(-s), where 0 < s <= 1 and vertical bar phi vertical bar < (pi s)/2. A comprehensive characteristic of that families and relations with the well known families of univalent functions are presented. Some relevant examples are indicated.

引用

页数：14

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