Semiweak Cullen-regular quaternionic functions
Daniel Alayon-Solarz
TL;DR
This paper introduces semiweak Cullen-regular quaternionic functions by framing Cullen-regular functions as solutions to an inhomogeneous PDE involving the Fueter operator, expanding the understanding of quaternionic function theory.
Contribution
It defines a new class of semiweak Cullen-regular functions using PDE interpretation, bridging Cullen-regularity and Fueter operator analysis.
Findings
New class of semiweak Cullen-regular functions introduced
PDE framework connects Cullen-regularity with Fueter operator
Potential applications in quaternionic analysis and PDEs
Abstract
We introduce the class of semiweak Cullen-regular quaternionic functions by interpreting Cullen-regular functions as solutions to an inhomogeneous PDE in terms of the Fueter operator.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Mathematical Analysis and Transform Methods · Geophysics and Sensor Technology