|
|
|
|
Volume 9, Issue 2, Article 50 |
|
|
|
|
|
|
A Certain Class of Analytic and Multivalent Functions Defined by Means of a Linear Operator
|
|
|
Authors: |
Ding-Gong Yang, N-eng Xu, Shigeyoshi Owa, |
|
|
|
Keywords:
|
Analytic function; Multivalent function; Linear operator; Convex univalent function; Hadamard product (or convolution); Subordination; Integral operator. |
|
|
|
Date Received:
|
13/06/07 |
|
|
|
Date Accepted:
|
01/11/07 |
|
|
|
Subject Codes: |
Primary 30C45.
|
|
|
|
Editors: |
Sever S. Dragomir, |
|
|
|
|
|
|
|
|
|
Abstract: |
Making use of a linear operator, which is defined here by means of the Hadamard product (or convolution), we introduce a class of analytic and multivalent functions in the open unit disk. An inclusion relation and a convolution property for the class are presented. Some integral-preserving properties are also given.
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|