Cauchy-Pompeiu Formula for Discrete Monogenic Functions

DOI10.1007/978-3-030-23854-4_22zbMath1442.30058OpenAlexW2980540268MaRDI QIDQ5115050

Zeping Zhu, Guang Bin Ren

Publication date: 29 June 2020

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

Full work available at URL: https://doi.org/10.1007/978-3-030-23854-4_22

zbMATH Keywords

Cauchy-Pompeiu formulaSokhotski-Plemelj formuladiscrete monogenic function

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Discrete version of topics in analysis (39A12)

Cites Work

• Discrete Hardy spaces
• Numerical null-solutions to iterated Dirac operator on bounded domains
• On finite difference Dirac operators and their fundamental solutions
• A convergence relation between discrete and continuous regular quaternionic functions
• Discrete Hilbert boundary value problems on half lattices
• Discrete function theory based on skew Weyl relations
• Discrete Clifford Analysis: A Germ of Function Theory
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