|
|
|
|
Volume 10, Issue 1, Article 17 |
|
|
|
|
|
|
The Alexander Transformation of a Subclass of Spirallike Functions of Type $ \beta$
|
|
|
Authors: |
Qinghua Xu, Sanya Lu, |
|
|
|
Keywords:
|
Univalent functions, Starlike functions of order $lpha$, spirallike functions of type $eta$, Integral transformations. |
|
|
|
Date Received:
|
13/08/08 |
|
|
|
Date Accepted:
|
27/12/08 |
|
|
|
Subject Codes: |
30C45
|
|
|
|
Editors: |
Gabriela Kohr, |
|
|
|
|
|
|
|
|
|
Abstract: |
In this paper, a subclass of spirallike function of type denoted by is introduced in the unit disc of the complex plane. We show that the Alexander transformation of class of is univalent when , which generalizes the related results of some authors.
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|