Hyperbolic function theory in the skew-field of quaternions

DOI10.1007/s00006-019-1017-5zbMath1430.30027OpenAlexW2979840048WikidataQ127151892 ScholiaQ127151892MaRDI QIDQ2010543

Sirkka-Liisa Eriksson, Heikki Orelma

Publication date: 27 November 2019

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-019-1017-5

zbMATH Keywords

quaternions\(\alpha\)-harmonic functions, Cauchy-type integral formula

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (2)

Lie symmetries of fundamental solutions to the Leutwiler-Weinstein equation ⋮ Electrostatic fields in some special inhomogeneous media and new generalizations of the Cauchy-Riemann system

Cites Work

• Mean value properties for the Weinstein equation using the hyperbolic metric
• Hyperbolic extensions of integral formulas
• Integral formulas for hypermonogenic functions
• General integral formulas for \(k\)-hyper-mono-genic functions
• A New Cauchy Type Integral Formula for Quaternionic k-hypermonogenic Functions
• Integral kernels fork-hypermonogenic functions
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