Quaternion Analysis
Khaled Abdel-Khalek (Physics Department, Lecce University)
TL;DR
This paper provides a comprehensive study of quaternion analysis, introducing a new analyticity condition similar to complex analysis, and extends the framework to octonions, broadening the mathematical understanding of hypercomplex systems.
Contribution
It introduces a novel analyticity condition for quaternions and extends the analysis framework to octonions, advancing hypercomplex analysis.
Findings
New analyticity condition for quaternions
Extension of analysis to octonions
Enhanced understanding of hypercomplex systems
Abstract
Quaternion analysis is considered in full details where a new analyticity condition in complete analogy to complex analysis is found. The extension to octonions is also worked out.
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Algebraic and Geometric Analysis