Vekua-Type Systems Related to Two-Sided Dual k-Hypermonogenic Functions

The aim of this paper is to solve the generalized Cauchy–Riemann systems of two-sided dual k -hypermonogenic functions, and to provide characterizations of the two-sided dual k -hypermonogenic functions. In this paper, we suggest a refinement for the definition of dual k -hypermonogenic functions by...

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Bibliographic Details
Published in:Complex analysis and operator theory 2022-10, Vol.16 (7), Article 106
Main Authors: He, Kaili, He, Jianxun, Lou, Zhenzhen, Xiao, Fusheng
Format: Article
Language:English
Subjects:
Analysis
Higher Dimensional Geometric Function Theory and Hypercomplex Analysis
Mathematics
Mathematics and Statistics
Operator Theory
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Summary:The aim of this paper is to solve the generalized Cauchy–Riemann systems of two-sided dual k -hypermonogenic functions, and to provide characterizations of the two-sided dual k -hypermonogenic functions. In this paper, we suggest a refinement for the definition of dual k -hypermonogenic functions by introducing left and right dual k -hypermonogenic operators. The new version of this definition is equivalent to the usual one which was introduced by Eriksson (Hypermonogenic functions and their dual functions, Birkhäuser, Basel, 2008), and it better adapts to the properties of dual k -hypermonogenic functions.
ISSN:1661-8254
1661-8262
DOI:10.1007/s11785-022-01270-3