Differentiability of pseudo-dual-quaternionic functions with a differential operator

DOI10.22436/jnsa.011.11.03zbMath1438.32017OpenAlexW2886330853WikidataQ129369752 ScholiaQ129369752MaRDI QIDQ5225358

Ji Eun Kim

Publication date: 22 July 2019

Published in: Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jnsa.011.11.03

zbMATH Keywords

differentiabilitydifferential operatorsdual-quaternionCauchy-Riemann formulas

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Quadratic spaces; Clifford algebras (11E88) Other partial differential equations of complex analysis in several variables (32W50) Holomorphic functions of several complex variables (32A99)

Cites Work

• A corresponding Cullen-regularity for split-quaternionic-valued functions
• Die Funktionentheorie der Differentialgleichungen \(\Delta u=0\) und \(\Delta\Delta u=0\) mit vier reellen Variablen
• Über die analytische Darstellung der regulären Funktionen einer Quaternionenvariablen
• The corresponding inverse of functions of multidual complex variables in Clifford analysis
• Quaternionic analysis
• Application of Dual-Number Quaternion Algebra to the Analysis of Spatial Mechanisms
• Unnamed Item
• Unnamed Item

This page was built for publication: Differentiability of pseudo-dual-quaternionic functions with a differential operator