Application of fractional calculus operators for a new class of univalent functions with negative coefficients defined by Hohlov operator

Mathematica Slovaca

Waggas Atshan¹ 

关键词: univalent function;    fractional calculus;    distortion theorem;    Hohlov operator;   

DOI  :  10.2478/s12175-009-0168-6

学科分类：数学（综合）

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

【 摘 要 】

In this paper, we introduce a new class W(a, b, c, γ, β) which consists of analytic and univalent functions with negative coefficients in the unit disc defined by Hohlov operator, we obtain distortion theorem using fractional calculus techniques for this class. Also coefficient inequalities and some results for this class are obtained.

【 授权许可】

Unknown