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Computational Methods and Function Theory 9 (2009), No. 2, 633--651
Copyright Heldermann Verlag 2009

Bohr Type Theorems for Monogenic Power Series

Klaus Gürlebeck
klaus.guerlebeck@uni-weimar.de , Bauhaus-Universität Weimar, Institut für Mathematik/Physik, Coudraystr. 13B, 99421 Weimar, Germany.

João Pedro Morais
jmorais@mat.ua.pt , Bauhaus-Universität Weimar, Institut für Mathematik/Physik, Coudraystr. 13B, 99421 Weimar, Germany.

[Abstract-pdf] [Abstract-ps]

The main goal of this paper is to generalize Bohr's phenomenon from complex one-dimensional analysis to the three-dimensional Euclidean space in the framework of quaternionic analysis.

Keywords: Spherical monogenics, homogeneous monogenic polynomials, Bohr's Theorem.

MSC 2000: Primary 30G35; Secondary 32A05.

[FullText-pdf (312 K)] [FullText-ps (520 K)]