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An Improved Cauchy Formula for Hypermonogenic Functions

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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.

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Authors and Affiliations

  1. Department of Mathematics, Tampere University of Technology, P.O. Box 553, FI–33101, Tampere, Finland

    Sirkka-Liisa Eriksson

  2. Department of Mathematics, University of Erlangen-Nürnberg, Bismarckstrasse 1 ½, D–91054, Erlangen, Germany

    Heinz Leutwiler

Authors
  1. Sirkka-Liisa Eriksson
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  2. Heinz Leutwiler
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Correspondence to Sirkka-Liisa Eriksson.

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This paper is dedicated to the memory of our friend and colleague Jarolim Bureš

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Eriksson, SL., Leutwiler, H. An Improved Cauchy Formula for Hypermonogenic Functions. AACA 19, 269–282 (2009). https://doi.org/10.1007/s00006-009-0153-8

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  • DOI: https://doi.org/10.1007/s00006-009-0153-8

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