Generalized uniformly close-to-convex functions of order γ and type β

被引：0

作者：

Al-Oboudi, F. M. ^{[1
]}

机构：

[1] Princess Nourah Bint Abdulrahman Univ, Coll Sci, Dept Math Sci, Riyadh, Saudi Arabia

来源：

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2014年 / 43卷 / 02期

关键词：

Univalent functions; uniformly close-to-convex; uniformly quasi-convex; fractional differential operator; STARLIKE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a class of analytic functions f defined on the open unit disc satisfying Re{z(D(lambda)(n,alpha)f(z))'/D(lambda)(n,alpha)g(z)} > beta vertical bar z(D(lambda)(n,alpha)f(z))'/D(lambda)(n,alpha)g(z) - 1 vertical bar + gamma, is studied, where beta >= 0, -1 <= gamma < 1, beta + gamma >= 0. and g is a certain analytic function associated with conic domains. Among other results, inclusion relations and the coefficients bound are studied. Various known special cases of these results are pointed out. A subclass of uniformly quasi-convex functions is also studied.

引用

页码：173 / 182

页数：10

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