COEFFICIENT INEQUALITIES FOR STARLIKENESS AND CONVEXITY

被引：0
|
作者：
Ali, Rosihan M. [1 ]
Nargesi, Mahnaz M. [1 ]
Ravichandran, V. [1 ,2 ]
机构：
[1] Univ Sains Malaysia, Sch Math Sci, George Town 11800, Malaysia
[2] Univ Delhi, Dept Math, Delhi 110007, India
来源：
TAMKANG JOURNAL OF MATHEMATICS | 2013年 / 44卷 / 02期
关键词：
Convex function; starlike function; k-uniformly convex function; coefficient inequality; hypergeometric functions;
D O I：
10.5556/j.tkjm.44.2013.1041
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For an analytic function f (z)= z + Sigma(infinity)(n=2) a(n)z(n) satisfying the inequality Sigma(infinity)(n=2) n(n-1)vertical bar a(n)vertical bar <= beta, sharp bound on beta is determined so that f is either starlike or convex of order alpha. Several other coefficient inequalities related to certain subclasses are also investigated.
引用
收藏
页码：149 / 162
页数：14
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