Computational Methods and Function Theory 8 (2008), No. 1, 159--165
Copyright Heldermann Verlag 2008
Tom Carroll
t.carroll@ucc.ie , National University of Ireland, Department of Mathematics, Cork, Ireland.
The univalent Bloch-Landau constant U is the largest number such the image of the unit disk under any conformal map f must contain some disk of radius U|f'(0)|. We extend a condition, due to Jenkins, that extremal domains must meet. This condition is stated in terms of harmonic measure.
Keywords: Bloch constant, harmonic measure, symmetry.
MSC 2000: 30C75, 30C25.
[FullText-pdf (151 K)] [FullText-ps (382 K)]