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.
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页数：7
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