Holomorphic functions in generalized Cayley-Dickson algebras
Cristina Flaut, Vitalii Shpakivskyi
TL;DR
This paper explores holomorphic functions within generalized Cayley-Dickson algebras, analyzing their structure and providing an algorithm for their construction, advancing understanding in hypercomplex analysis.
Contribution
It introduces a new algorithm for constructing holomorphic functions in Cayley-Dickson algebras and studies their algebraic structure.
Findings
Characterization of holomorphic functions in Cayley-Dickson algebras
Development of an explicit construction algorithm
Insights into the algebraic structure of these functions
Abstract
In this paper we investigated holomorphic functions (belonging to the kernel of the Dirac operator) in Cayley-Dickson algebras. For this purpose, we study the structure of Cayley-Dickson algebras. We also provide an algorithm for the construction of such functions.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Advanced Theoretical and Applied Studies in Material Sciences and Geometry