Regular functions on dual split quaternions in Clifford analysis

DOI10.2298/FIL1701017KzbMath1488.32030OpenAlexW2592035325MaRDI QIDQ5005307

Kwang Ho Shon, Ji Eun Kim

Publication date: 9 August 2021

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1701017k

zbMATH Keywords

power seriesClifford analysisregular functionsplit quaterniondual number

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

• Split quaternionic analysis and separation of the series for \(\mathrm{SL}(2,\mathbb R)\) and \(\mathrm{SL}(2,\mathbb C)/\mathrm{SL}(2,\mathbb R)\)
• Polar coordinate expression of hyperholomorphic functions on split quaternions in Clifford analysis
• Timelike surfaces of constant mean curvature in Minkowski 3-space
• The regularity of functions on dual split quaternions in Clifford analysis
• Regularity of functions on the reduced quaternion field in Clifford analysis
• Dual quaternion functions and its applications
• Regular functions with values in ternary number system on the complex Clifford analysis
• Linear algebra and numerical algorithms using dual numbers
• Rotations with unit time-like quaternions in Minkowski 3-space
• On complexified mechanics and coquaternions
• COSET OF A HYPERCOMPLEX NUMBER SYSTEM IN CLIFFORD ANALYSIS
• An iterative solution to coupled quaternion matrix equations
• Inverse mapping theory on split quaternions in Clifford analysis
• SPLIT QUATERNIONS AND ROTATIONS IN SEMI EUCLIDEAN SPACE E⁴₂
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