Volume 4,  Issue 5, 2003

Article 102

CONVEX FUNCTIONS IN A HALF-PLANE

NICOLAE N. PASCU AND NICOLAE R. PASCU

``TRANSILVANIA`` UNIVERSITY OF BRASOV 
STR. IULIU MANIU NR. 50 
BRASOV -- COD 2200, ROMANIA.
E-Mail: n.pascu@unitbv.ro

GREEN MOUNTAIN COLLEGE 
ONE COLLEGE CIRCLE 
POULTNEY, VT 05764, U.S.A.
E-Mail: pascun@greenmtn.edu

Received 24 March, 2003; Accepted 16 August, 2003.
Communicated by: H.M. Srivastava

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.
Key words:
Univalent function, Convex function, Half-plane.

2000 Mathematics Subject Classification:
30C45.

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