A Class of Multivalent Analytic Functions Defined by a New Linear Operator

被引：0

作者：

Kargar, Rahim ^{[1
]}

Bilavi, Abdoljalil ^{[2
]}

Abdolahi, Salahaddin ^{[1
]}

Maroufi, Salah ^{[1
]}

机构：

[1] Payame Noor Univ, Dept Math, Tehran, Iran

[2] Islamic Azad Univ, Dept Math, Shoush Branch, Shoush, Iran

来源：

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2014年 / 8卷 / 04期

关键词：

Analytic functions; Multivalent functions; Hadamard product; Subordination; Linear operators;

D O I：

10.22436/jmcs.08.04.01

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main object of the present paper is to derive some results for multivalent analytic functions defined by a linear operator. Making use of a certain operator, which is defined here by means of Hadamard product, we introduce a subclasses S-A,S-B (P,gamma)(alpha,lambda,nu,a,c) of the class A(p) of normalized p-valent analytic functions on the open unit disk. Also we have extended some of the previous results and have given necessary and sufficient condition for this class.

引用

页码：326 / 334

页数：9

共 20 条

[1]

Aouf M. K., 1989, MATH JPN, V34, P683

[2]

Aouf M.K., 1991, SOOCHOW J MATH, V17, P83

[3] STARLIKE AND PRESTARLIKE HYPERGEOMETRIC-FUNCTIONS [J].