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

页码：149 / 162

页数：14

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