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Vekua type systems related to two-sided monogenic functions

Dixan Peña Peña UGent and Franciscus Sommen UGent (2012) COMPLEX ANALYSIS AND OPERATOR THEORY. 6(2). p.397-405
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.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
Bessel functions, Vekua systems, Clifford algebras, Two-sided monogenic functions
journal title
COMPLEX ANALYSIS AND OPERATOR THEORY
Complex Anal. Oper. Theory
volume
6
issue
2
pages
397 - 405
Web of Science type
Article
Web of Science id
000301976500005
JCR category
MATHEMATICS
JCR impact factor
0.404 (2012)
JCR rank
221/296 (2012)
JCR quartile
3 (2012)
ISSN
1661-8254
DOI
10.1007/s11785-010-0127-9
language
English
UGent publication?
yes
classification
A1
copyright statement
I have transferred the copyright for this publication to the publisher
id
2075950
handle
http://hdl.handle.net/1854/LU-2075950
date created
2012-03-28 11:56:45
date last changed
2016-12-19 15:44:51
@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},
}

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.