Some Geometric Properties of Analytic Functions Involving a New Fractional Operator

被引：7

作者：

Sharma, Poonam ^{[1
]}

Raina, R. K. ^{[2
,3
]}

Salagean, G. S. ^{[4
]}

机构：

[1] Univ Lucknow, Dept Math & Astron, Lucknow 226007, Uttar Pradesh, India

[2] MP Univ Agr & Technol, Udaipur 313001, Rajasthan, India

[3] 10-11 Ganpati Vihar,Opposite Sect 5, Udaipur 313002, Rajasthan, India

[4] Univ Babes Bolyai, Fac Math & Comp Sci, Dept Math, Str M Kogalniceanu 1, Cluj Napoca 400084, Romania

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2016年 / 13卷 / 06期

关键词：

Analytic functions; Salagean operator; Ruscheweyh derivative operator; Fractional differintegral operator; UNIVALENT; SUBCLASSES;

D O I：

10.1007/s00009-016-0764-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce and study a new fractional operator and its implications in terms of the Ruscheweyh derivative operator, the Slgean operator and a certain fractional differintegral operator. Some geometric properties of the analytic functions involving this operator are derived. We also consider some applications and derive certain corollaries of our main results. Some useful consequences and relationship of certain results with known results are also pointed out.

引用

页码：4591 / 4605

页数：15

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