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Computational Methods and Function Theory 8 (2008), No. 2, 565--578
Copyright Heldermann Verlag 2008

Extreme and Support Points of the Class of Non-Vanishing Univalent Functions

Dov Aharonov
dova@tx.technion.ac.il , Technion -- Israel Institute of Technology, Department of Mathematics, 32000 Haifa, Israel.

[Abstract-pdf] [Abstract-ps]

Let S0 be the standard class of non-vanishing univalent functions in the unit disc. In this article we present a generalization of the classical ellipse theorem for this class.

Keywords: Non-vanishing univalent functions, extreme points, support points.

MSC 2000: Primary 30C45; Secondary 30C55, 30C75.

[FullText-pdf (212 K)] [FullText-ps (492 K)]