APPLICATIONS OF FRACTIONAL CALCULUS TO k-UNIFORMLY STARLIKE AND k-UNIFORMLY CONVEX FUNCTIONS OF ORDER alpha

被引：2

作者：

Akbarally, Ajab ^{[1
]}

Darus, Maslina ^{[1
]}

机构：

[1] Univ Kebangsaan Malaysia, Sch Math Sci, Fac Sci & Technol, Ukm Bangi Selangor D Ehs 43600, Malaysia

来源：

TAMKANG JOURNAL OF MATHEMATICS | 2007年 / 38卷 / 02期

关键词：

Fractional calculus; k-uniformly starlike; k-uniformly convex;

D O I：

10.5556/j.tkjm.38.2007.81

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A new subclass of analytic functions k - SP lambda (alpha) is introduced by applying certain operators of fractional calculus to k-uniformly starlike and k-uniformly convex functions of order a. Some theorems on coefficient bounds and growth and distortion theorems for this subclass are found. The radii of close to convexity, starlikeness and convexity for this subclass is also derived.

引用

页码：103 / 109

页数：7

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