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Vekua type systems related to two-sided monogenic functions

Dixan Peña Peña (UGent) and Franciscus Sommen (UGent)
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Abstract
Solutions to the Dirac equation are obtained by considering functions of axial type.This indeed gives rise to Vekua systems that can be solved in terms of special functions. In this paper we study axial symmetry for the solution of the two-sided monogenic system and we give examples involving Bessel functions.
Keywords
Bessel functions, Vekua systems, Clifford algebras, Two-sided monogenic functions

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Chicago
Peña Peña, Dixan, and Franciscus Sommen. 2012. “Vekua Type Systems Related to Two-sided Monogenic Functions.” Complex Analysis and Operator Theory 6 (2): 397–405.
APA
Peña Peña, D., & Sommen, F. (2012). Vekua type systems related to two-sided monogenic functions. COMPLEX ANALYSIS AND OPERATOR THEORY, 6(2), 397–405.
Vancouver
1.
Peña Peña D, Sommen F. Vekua type systems related to two-sided monogenic functions. COMPLEX ANALYSIS AND OPERATOR THEORY. 2012;6(2):397–405.
MLA
Peña Peña, Dixan, and Franciscus Sommen. “Vekua Type Systems Related to Two-sided Monogenic Functions.” COMPLEX ANALYSIS AND OPERATOR THEORY 6.2 (2012): 397–405. Print.
@article{2075950,
  abstract     = {Solutions to the Dirac equation are obtained by considering functions of axial type.This indeed gives rise to Vekua systems that can be solved in terms of special functions. In this paper we study axial symmetry for the solution of the two-sided monogenic system and we give examples involving Bessel functions.},
  author       = {Pe{\~n}a Pe{\~n}a, Dixan and Sommen, Franciscus},
  issn         = {1661-8254},
  journal      = {COMPLEX ANALYSIS AND OPERATOR THEORY},
  keyword      = {Bessel functions,Vekua systems,Clifford algebras,Two-sided monogenic functions},
  language     = {eng},
  number       = {2},
  pages        = {397--405},
  title        = {Vekua type systems related to two-sided monogenic functions},
  url          = {http://dx.doi.org/10.1007/s11785-010-0127-9},
  volume       = {6},
  year         = {2012},
}

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