The class of functions convex in the negative direction of the imaginary axis of order (α,β)

The aim of this paper is to present an analytic characterization of the class of functions convex in the negative direction of the imaginary axis of order (α,β). The method of the proof is based on Julia's lemma.

Bibliographic Details
Main Author: Adam Lecko
Format: Article
Language:English
Published: Hindawi Limited 2002-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171202007810
Description
Summary:The aim of this paper is to present an analytic characterization of the class of functions convex in the negative direction of the imaginary axis of order (α,β). The method of the proof is based on Julia's lemma.
ISSN:0161-1712
1687-0425