RADII OF STARLIKENESS AND CONVEXITY OF ANALYTIC FUNCTIONS SATISFYING CERTAIN COEFFICIENT INEQUALITIES

被引：8
|
作者：
Ravichandran, V. [1 ,2 ]
机构：
[1] Univ Delhi, Dept Math, Delhi 110007, India
[2] Univ Sains Malaysia, Sch Math Sci, Usm Penang 11800, Malaysia
来源：
MATHEMATICA SLOVACA | 2014年 / 64卷 / 01期
关键词：
univalent functions; starlike functions; convex functions; uniformly convex functions; parabolic starlike functions; radius problems; SUBORDINATION;
D O I：
10.2478/s12175-013-0184-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For 0 <= alpha < 1, the sharp radii of starlikeness and convexity of order a for functions of the form f(z) = z + a(2)z(2) + a(3)z(3) + ... whose Taylor coefficients an satisfy the conditions vertical bar a(2)vertical bar = 2b, 0 <= b <= 1, and vertical bar a(n)vertical bar <= n, M or M/n (M > 0) for n = 3 are obtained. Also a class of functions related to Caratheodory functions is considered. (C) 2014 Mathematical Institute Slovak Academy of Sciences
引用
收藏
页码：27 / 38
页数：12
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