A RADIUS PROBLEM FOR A CERTAIN CLASS OF SCHLICHT FUNCTIONS

被引：0
|
作者：
Babalola, K. O. [1 ]
Jimoh, F. M. [2 ]
机构：
[1] Univ Ilorin, Dept Math, Ilorin, Nigeria
[2] Al Hikmah Univ, Dept Phys Sci, Ilorin, Nigeria
来源：
JORDAN JOURNAL OF MATHEMATICS AND STATISTICS | 2020年 / 13卷 / 04期
关键词：
Schlichtness; product combinations; radius problem; analytic and univalent functions;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work we apply a lemma of Than and Anh [5] to solve a radius problem for certain class of schlicht functions defined by a product of expressions having geometric meaning. Many interesting consequences of the result are derived for some well known classes of functions, most especially the novel radius of convexity of order 1/2 for functions of bounded turning in the unit disk vertical bar z vertical bar < 1.
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页码：477 / 485
页数：9
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