Semiweak Cullen-regular quaternionic functions

2008/06/20 by Daniel Alayón-Solarz, Alayon-Solarz, Daniel
Engineering · Mathematics · #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #FOS: Physical sciences #Geophysics and Sensor Technology #Mathematical Analysis and Transform Methods #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.0806.3310

openalex publication_date 2008/06/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Cullen-regular quaternionic functions in a Fueter operator framework

Related

• Cullen-regular quaternionic functions in a Fueter operator framework
• On Some Modifications of the Fueter Operator
• The quaternionic Cullen-regular product for a larger class of functions
• A generalization of Fueter's Theorem
• New Fueter Variables Associated to the Global Operator in the Quaternionic Case