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
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spelling doaj-63aee45a23cc4d9082892867aa2c61a72020-11-24T22:28:09ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-01291164165010.1155/S0161171202007810The class of functions convex in the negative direction of the imaginary axis of order (α,β)Adam Lecko0Department of Mathematics, Technical University of Rzeszów, ul. W. Pola 2, Rzeszów 35-959, PolandThe 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.http://dx.doi.org/10.1155/S0161171202007810
collection DOAJ
language English
format Article
sources DOAJ
author Adam Lecko
spellingShingle Adam Lecko
The class of functions convex in the negative direction of the imaginary axis of order (α,β)
International Journal of Mathematics and Mathematical Sciences
author_facet Adam Lecko
author_sort Adam Lecko
title The class of functions convex in the negative direction of the imaginary axis of order (α,β)
title_short The class of functions convex in the negative direction of the imaginary axis of order (α,β)
title_full The class of functions convex in the negative direction of the imaginary axis of order (α,β)
title_fullStr The class of functions convex in the negative direction of the imaginary axis of order (α,β)
title_full_unstemmed The class of functions convex in the negative direction of the imaginary axis of order (α,β)
title_sort class of functions convex in the negative direction of the imaginary axis of order (α,β)
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2002-01-01
description 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.
url http://dx.doi.org/10.1155/S0161171202007810
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