DIFFERENTIAL SUBORDINATION PROPERTIES OF CERTAIN ANALYTIC FUNCTIONS

被引：4

作者：

Omar, Rashidah ^{[1
]}

Halim, Suzeini Abdul ^{[1
]}

Ibrahim, Rabha W. ^{[1
]}

机构：

[1] Univ Malaya, Fac Sci, Inst Math Sci, Kuala Lumpur, Malaysia

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2013年 / 24卷 / 06期

关键词：

Differential subordination; Sokol-Stankiewicz starlike functions; Cassinian ovals; univalent function; analytic function; unit disk;

D O I：

10.1142/S0129167X13500444

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper looks at subordination properties involving 1+beta zp' (z) and the class of Sokol-Stankiewicz starlike functions where condition on beta is determined so that the relation 1 + beta zp' (z) < root 1 + cz would imply p(z) < root 1 + z. Similar results are obtained for expressions of the form 1 + beta zp'(z)/p(z) and 1 + beta zp' (z)/p(2)(z). These results are then applied to obtain other relations involving similar expressions.

引用

页数：7

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