Subclasses of meromorphically multivalent functions defined by a differential operator

被引：2

作者：

Orhan, Halit ^{[1
]}

Raducanu, Dorina ^{[2
]}

Deniz, Erhan ^{[1
]}

机构：

[1] Ataturk Univ, Fac Sci, Dept Math, TR-25240 Erzurum, Turkey

[2] Transilvania Univ Brasov, Fac Math & Comp Sci, Iuliu Maniu 50091 50, Brasov, Romania

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 61卷 / 04期

关键词：

Analytic functions; Meromorphic functions; Multivalent functions; Differential operator; Subordination; Neighborhoods; GENERALIZED HYPERGEOMETRIC FUNCTION; NEGATIVE COEFFICIENTS; UNIVALENT-FUNCTIONS; NEIGHBORHOODS; FAMILIES;

D O I：

10.1016/j.camwa.2010.12.045

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 two new subclasses Sigma(lambda mu mp)(alpha, beta) and Sigma(+)(lambda mu mp)(alpha, beta) of meromorphically multivalent functions which are defined by means of a new differential operator. Some results connected to subordination properties, coefficient estimates, convolution properties, integral representation and distortion theorems are obtained. We also extend the familiar concept of (n, delta)-neighborhoods of analytic functions to these subclasses of meromorphically multivalent functions. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：966 / 979

页数：14

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