Vekua-type systems related to two-sided monogenic functions

2010/02/12 by Dixan Peña Peña, Peña, Dixan Peña, Frank Sommen +1
Mathematics · #30G35 #33C10 #Advanced Topics in Algebra #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #math.CV #msc:30G35 #msc:33C10

paper · pdf · doi:10.48550/arxiv.1002.2452

8 pages, submitted for publication

arxiv created 2010/02/12 · openalex publication_date 2010/02/12 · arxiv updated 2010/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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