Fueter's theorem in discrete Clifford analysis

DOI10.1002/mma.3612zbMath1416.30016OpenAlexW2144740784MaRDI QIDQ2809508

Hilde De Ridder, Fransiscus Sommen

Publication date: 30 May 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1854/LU-7063409

zbMATH Keywords

Fueter theoremdiscrete Clifford analysisaxial monogenicity

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20)

Cites Work

• Fueter polynomials in discrete Clifford analysis
• The Cauchy-Kovalevskaya extension theorem in discrete Clifford analysis
• Die Funktionentheorie der Differentialgleichungen \(\Delta u=0\) und \(\Delta\Delta u=0\) mit vier reellen Variablen
• Clifford analysis: History and perspective
• Generalizations of Fueter's theorem
• Generalized Hermitean Clifford-Hermite polynomials and the associated wavelet transform
• A Basic Framework for Discrete Clifford Analysis
• Discrete function theory based on skew Weyl relations
• On solutions of a discretized heat equation in discrete Clifford analysis
• On a generalization of Fueter's theorem

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