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Vekua-Type Systems Related to Two-Sided Monogenic Functions

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Abstract

Solutions to the Dirac equation are obtained by considering functions of axial type. This indeed gives rise to Vekua-type systems that can be solved in terms of special functions. In this paper we investigate axial symmetry for the solutions of the two-sided monogenic system and we give examples involving Bessel functions.

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Authors and Affiliations

  1. Department of Mathematics, University of Aveiro, 3810-193, Aveiro, Portugal

    Dixan Peña Peña

  2. Department of Mathematical Analysis, Ghent University, 9000, Ghent, Belgium

    Frank Sommen

Authors
  1. Dixan Peña Peña
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  2. Frank Sommen
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Correspondence to Dixan Peña Peña.

Additional information

Communicated by Daniel Aron Alpay.

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Peña Peña, D., Sommen, F. Vekua-Type Systems Related to Two-Sided Monogenic Functions. Complex Anal. Oper. Theory 6, 397–405 (2012). https://doi.org/10.1007/s11785-010-0127-9

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  • DOI: https://doi.org/10.1007/s11785-010-0127-9

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