Sufficient conditions for starlike functions associated with the lemniscate of Bernoulli

被引：45
|
作者：
Kumar, S. Sivaprasad [1 ]
Kumar, Virendra [1 ]
Ravichandran, V. [2 ]
Cho, Nak Eun [3 ]
机构：
[1] Delhi Technol Univ, Dept Appl Math, Delhi 110042, India
[2] Univ Delhi, Dept Math, Delhi 110007, India
[3] Pukyong Natl Univ, Dept Appl Math, Pusan 608737, South Korea
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年
基金：
新加坡国家研究基金会;
关键词：
starlike function; lemniscate of Bernoulli; subordination;
D O I：
10.1186/1029-242X-2013-176
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let -1 . The condition on beta is determined so that () implies . Similarly, the condition on beta is determined so that or () implies or . In addition to that, the condition on beta is derived so that when . A few more problems of the similar flavor are also considered. MSC: 30C80, 30C45.
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页数：13
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