Regularity of functions on the reduced quaternion field in Clifford analysis

DOI10.1155/2014/654798zbMath1474.30263OpenAlexW2052035489WikidataQ59040392 ScholiaQ59040392MaRDI QIDQ1724684

Kwang Ho Shon, Su Jin Lim, Ji Eun Kim

Publication date: 14 February 2019

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

Full work available at URL: https://doi.org/10.1155/2014/654798

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items

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, Properties of hyperholomorphic functions and integrals for commutative-quaternionic valued functions, Regular functions on dual split quaternions in Clifford analysis

Cites Work

• Dual quaternion functions and its applications
• 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
• A new hypercomplex structure of the euclidean space R ^m+1 and the concept of hypercomplex differentiability
• Special functions and relations within complex clifford analysis I
• Complexified clifford analysis
• Quaternionic analysis
• Hyperholomorphic functions
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