Regular functions with values in ternary number system on the complex Clifford analysis

DOI10.1155/2013/136120zbMath1295.30113OpenAlexW2111094785WikidataQ58915337 ScholiaQ58915337MaRDI QIDQ2016627

Su Jin Lim, Kwang Ho Shon, Ji Eun Kim

Publication date: 20 June 2014

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/136120

zbMATH Keywords

Clifford analysisregular functionreduced quaternionsternary number system

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (7)

A corresponding Cullen-regularity for split-quaternionic-valued functions ⋮ Polar coordinate expression of hyperholomorphic functions on split quaternions in Clifford analysis ⋮ PROPERTIES OF FUNCTIONS WITH VALUES IN FIBONACCI QUATERNIONS IN CLIFFORD ANALYSIS ⋮ DERIVATIVES FOR THE LINEARITY OF TERNARY NUMBER VALUED FUNCTIONS ⋮ Hyperholomorphic functions with values in a modified form of quaternions ⋮ The regularity of functions on dual split quaternions in Clifford analysis ⋮ Regular functions on dual split quaternions in Clifford analysis

Cites Work

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• Quaternion polar representation with a complex modulus and complex argument inspired by the Cayley-Dickson form.
• Dual quaternion functions and its applications
• De Moivre's formula for quaternions
• Die Funktionentheorie der Differentialgleichungen \(\Delta u=0\) und \(\Delta\Delta u=0\) mit vier reellen Variablen
• Hyperholomorphic functions and hyper-conjugate harmonic functions of octonion variables
• Quaternionic analysis
• The Quaternion Calculus
• Hyperholomorphic functions

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