Representation of Weinstein \(k\)-monogenic functions by differential operators

DOI10.1007/s11785-020-00980-wzbMath1436.30042OpenAlexW3003583737MaRDI QIDQ2302323

Doan Cong Dinh, Luong Thi Tuyet

Publication date: 26 February 2020

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-020-00980-w

zbMATH Keywords

Clifford analysisrepresentation of solutionsgeneralized monogenic functions

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Clifford algebras, spinors (15A66)

Related Items (4)

Cauchy type integrals and a boundary value problem in a complex Clifford analysis ⋮ Generalized \((k_i)\)-monogenic functions ⋮ Electrostatic fields in some special inhomogeneous media and new generalizations of the Cauchy-Riemann system ⋮ \((m,h)\)-monogenic functions related to axially symmetric Helmholtz equations

Cites Work

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• Differential operators for partial differential equations and function theoretic applications
• On harmonic potential fields and the structure of monogenic functions
• Vekua systems in hyperbolic harmonic analysis
• Contributions to the theory of hypermonogenic functions
• On primitives of monogenic functions
• On conjugate harmonic functions in Euclidean space
• Discontinuous Integrals and Generalized Potential Theory
• Generalized axially symmetric potential theory
• On a class of differential equations in mechanics of continua

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