On one class of quaternionic mappings
V. S. Shpakivskyi, T. S. Kuzmenko
TL;DR
This paper introduces a new class of quaternionic mappings related to spatial PDEs and characterizes them using four complex analytic functions.
Contribution
It defines and describes a novel class of quaternionic mappings associated with PDEs, providing a complete characterization via complex functions.
Findings
All mappings in the class are described using four complex analytic functions.
The class is linked to solutions of certain spatial partial differential equations.
Provides a mathematical framework for quaternionic mappings in PDE contexts.
Abstract
We consider a new class of quaternionic mappings, associated with the spatial partial differential equations. We describe all mappings from this class using four analytic functions of the complex variable.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Holomorphic and Operator Theory · Advanced Topics in Algebra