Differential subordination properties of sokól-stankiewicz starlike functions

Let p(z) be an analytic function defined on the open unit disk D and p(0) = 1.Condition β in terms of complex numbers D and real E with -1 < E < 1 and |D| ≤ 1 is determined such that 1+Ez implies p(z). Furthermore, the expression are considered in obtaining similar results.

Bibliographic Details
Published in:Kyungpook Mathematical Journal
Main Author: Omar R.; Halim S.A.
Format: Article
Language:English
Published: Kyungmoon Publishing 2013
Online Access:https://www.scopus.com/inward/record.uri?eid=2-s2.0-84887582218&doi=10.5666%2fKMJ.2013.53.3.459&partnerID=40&md5=2999ad1f66d9bd70884bf86ebf56f72f
Description
Summary:Let p(z) be an analytic function defined on the open unit disk D and p(0) = 1.Condition β in terms of complex numbers D and real E with -1 < E < 1 and |D| ≤ 1 is determined such that 1+Ez implies p(z). Furthermore, the expression are considered in obtaining similar results.
ISSN:12256951
DOI:10.5666/KMJ.2013.53.3.459