Vekua-type systems related to two-sided monogenic functions
Dixan Pe\~na Pe\~na, Frank Sommen
TL;DR
This paper explores Vekua systems linked to two-sided monogenic functions, focusing on axial symmetry solutions to the Dirac equation, and provides examples involving Bessel functions.
Contribution
It introduces a new analysis of axial symmetry in two-sided monogenic systems and demonstrates solutions using special functions like Bessel functions.
Findings
Solutions to the Dirac equation via axial type functions
Vekua systems solvable with special functions
Examples involving Bessel functions
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 investigate axial symmetry for the solutions of the two-sided monogenic system and we give examples involving Bessel functions.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Holomorphic and Operator Theory · Advanced Topics in Algebra