Inhomogeneous Cauchy-Riemann equation in octonion space

DOI10.1007/s11766-015-3084-2zbMath1349.30138OpenAlexW2295736571MaRDI QIDQ530741

Dingdong Gong

Publication date: 10 August 2016

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-015-3084-2

zbMATH Keywords

octonionsCousin probleminhomogeneous Cauchy-Riemann equationintegral representation of differentiable functions

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) (overlinepartial) and (overlinepartial)-Neumann operators (32W05)

Cites Work

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• The Laurent series on the octonions
• The Cauchy integral formulas on the octonions.
• On non-homogeneous Cauchy-Fueter equations and Hartogs' phenomenon in several quaternionic variables
• Cousin problem for regular functions taking values in a quaternionic algebra
• Taylor series and orthogonality of the octonion analytic functions