Radii of starlikeness and convexity of analytic functions satisfying certain coefficient inequalities

Mathematica Slovaca

V. Ravichandran¹ 

关键词: univalent functions;    starlike functions;    convex functions;    uniformly convex functions;    parabolic starlike functions;    radius problems;   

DOI  :  10.2478/s12175-013-0184-4

学科分类：数学（综合）

来源: Slovenska Akademia Vied * Matematicky Ustav / Slovak Academy of Sciences, Mathematical Institute

【 摘 要 】

For 0 ≤ α < 1, the sharp radii of starlikeness and convexity of order α for functions of the form f(z) = z + a 2 z 2 + a 3 z 3 + ... whose Taylor coefficients a n satisfy the conditions |a 2| = 2b, 0 ≤ b ≤ 1, and |a n| ≤ n, M or M/n (M > 0) for n ≥ 3 are obtained. Also a class of functions related to Carathéodory functions is considered.

【 授权许可】

Unknown