On ψ-hyperholomorphic Functions and a Decomposition of Harmonics

DOI10.1007/978-3-319-08771-9_12zbMath1314.30103OpenAlexW138831171MaRDI QIDQ2932681

Hung Manh Nguyen, Klaus Gürlebeck

Publication date: 9 December 2014

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-08771-9_12

zbMATH Keywords

quaternion analysis\(\psi\)-hyperholomorphic functions

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (7)

On \((\phi,\psi)\)-inframonogenic functions in Clifford analysis ⋮ A quaternionic treatment of inhomogeneous Cauchy-Riemann type systems in some traditional theories ⋮ Generalized Laplacian decomposition of vector fields on fractal surfaces ⋮ Reconstruction of solutions to a generalized Moisil-Teodorescu system in Jordan domains with rectifiable boundary ⋮ Generalizations of harmonic functions in \(\mathbb{R}^m\) ⋮ Isomorphisms of partial differential equations in Clifford analysis ⋮ On a generalized Lamé-Navier system in \(\mathbb{R}^3\)

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