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Volume 4, Issue 5, Article 102 |
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Convex Functions in a Half-plane
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Authors: |
Nicolae N. Pascu, Nicolae R. Pascu, |
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Keywords:
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Univalent function, Convex function, Half-plane. |
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Date Received:
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24/03/03 |
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Date Accepted:
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16/08/03 |
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Subject Codes: |
30C45.
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Editors: |
Hari M. Srivastava, |
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Abstract: |
The class of convex hydrodynamically normalized functions in a half-plane was introduced by J. Stankiewicz. In this paper we introduce the general class of convex functions in the upper half-plane D (not necessarily hydrodynamically normalized) and we obtain necessary and sufficient conditions for an analytic function in D, to be convex univalent in D.
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