Integration with Functions of a Quaternionic Variable
Charles Schwartz
TL;DR
This paper extends the recent developments in differential calculus for quaternionic functions to include integration, advancing the mathematical framework for non-commuting variables.
Contribution
It introduces a novel approach to integrating functions of quaternionic variables, building on recent differential calculus methods for non-commuting variables.
Findings
Extended quaternionic calculus to include integration
Provided new methods for integrating non-commuting functions
Enhanced mathematical tools for quaternionic analysis
Abstract
Recent innovations in the differential calculus for functions of non-commuting variables, beginning with a quaternionic variable, are now extended to consider some integration.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Mathematics and Applications · Matrix Theory and Algorithms