Advances in Applied Clifford Algebras

, Volume 27, Issue 1, pp 111–123 | Cite as

Two-Sided Hypergenic Functions

  • Sirkka-Liisa Eriksson
  • Heikki Orelma
  • Nelson Vieira


In this paper we present an analogous of the class of two-sided axial monogenic functions to the case of axial \({\kappa}\)-hypermonogenic functions. In order to do that we will solve a Vekua-type system in terms of Bessel functions.


Clifford algebras Hypergenic functions \({\kappa}\)-Hypergenic functions Two-side hypergenic functions 

Mathematics Subject Classification

Primary 30G20 Secondary 30G35 33C10 30A05 30B30 


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Copyright information

© Springer Basel 2015

Authors and Affiliations

  • Sirkka-Liisa Eriksson
    • 1
  • Heikki Orelma
    • 1
  • Nelson Vieira
    • 2
  1. 1.Department of MathematicsTampere University of TechnologyTampereFinland
  2. 2.Department of MathematicsCIDMA, Center for Research and Development in Mathematics and ApplicationsAveiroPortugal

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