A class of uniformly convex functions involving a differential operator

被引：0

作者：

Sivasubramanian, Srikandan ^{[1
]}

Ramachandran, Chellakutti ^{[2
]}

机构：

[1] Anna Univ Chennai, Univ Coll Engn, Dept Math, Saram 604307, India

[2] Anna Univ Chennai, Univ Coll Engn, Dept Math, Villupuram, India

来源：

STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2011年 / 56卷 / 04期

关键词：

Analytic function; starlike function; convex function; uniformly convex function; convolution product; Cho-Srivastava operator;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main purpose of this paper is to introduce a new class UH(alpha, beta, gamma, lambda, k), of functions which are analytic in the open disc Delta = {z is an element of C : vertical bar z vertical bar < 1}. We obtain various results including characterization, coefficients estimates, distortion and covering theorems, radii of close-to-convexity, starlikeness and convexity for functions belonging to the class UH(alpha, beta, gamma, lambda, k).

引用

页码：71 / 80

页数：10

共 12 条

[1]

Altntas O., 1991, APPL MATH COMPUT, V36, P1

[2]

Aqlan E., 2004, TAMKANG J MATH, V35, P1

[3] Argument estimates of certain analytic functions defined by a class of multiplier transformations [J].