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An Improved Cauchy Formula for Hypermonogenic Functions |
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| Authors: | Sirkka-Liisa Eriksson Heinz Leutwiler |
| Affiliation: | 1. Department of Mathematics, Tampere University of Technology, P.O. Box 553, FI–33101, Tampere, Finland 2. Department of Mathematics, University of Erlangen-Nürnberg, Bismarckstrasse 1 ?, D–91054, Erlangen, Germany |
| Abstract: | A new Cauchy-type formula for hypermonogenic functions is derived. Hypermonogenic functions, introduced in [6], are a generalization of holomorphic functions to several dimensions. The power function xm is hypermonogenic. This paper is dedicated to the memory of our friend and colleague Jarolim Bureš |
| Keywords: | Mathematics Subject Classification (2000). Primary 30G35 Secondary 30A05 |
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