Calculation of vectorial derivatives for functions of a quaternion variable and their properties

DOI10.1186/s13662-021-03581-9zbMath1494.30086OpenAlexW3199463138MaRDI QIDQ2167188

Ji Eun Kim

Publication date: 25 August 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-021-03581-9

zbMATH Keywords

derivativesdifferential operatorquaternionelementary quaternionic functions

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Other generalizations of analytic functions (including abstract-valued functions) (30G30) Quaternionic operator theory (47S05)

Cites Work

• On the differentiability of quaternion functions
• Polar coordinate expression of hyperholomorphic functions on split quaternions in Clifford analysis
• A corresponding Cullen-regularity for split-quaternionic-valued functions
• On some new properties of quaternion functions
• Die Funktionentheorie der Differentialgleichungen \(\Delta u=0\) und \(\Delta\Delta u=0\) mit vier reellen Variablen
• A new theory of regular functions of a quaternionic variable
• Die Funktionentheorie der Diracschen Differentialgleichungen
• Extended Riemann-Liouville fractional derivative operator and its applications
• Quaternionic analysis
• The exponential function of a quaternion variable
• The Quaternion Calculus
• Special Functions and Analysis of Differential Equations
• Properties of hyperholomorphic functions and integrals for commutative-quaternionic valued functions
• Linear Quaternion Differential Equations: Basic Theory and Fundamental Results
• Sur la généralisation des conditions do Cauchy-Riemann
• An Elementary Note on Powers of Quaternions

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