Three-dimensional Analogue of Kolosov–Muskhelishvili Formulae
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Publication:4637349
DOI10.1007/978-3-319-42529-0_11zbMath1388.30073OpenAlexW2550978179MaRDI QIDQ4637349
Publication date: 18 April 2018
Published in: Trends in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-42529-0_11
representation formulasregular quaternionic functionsMoisil-Theodoresco systemmonogenic Clifford functions
Related Items (4)
Representation of solutions of Lamé-Navier system ⋮ Solutions of Lamé-Navier system in ball shell domain ⋮ Fundamental solutions of the Stokes system in quaternion analysis ⋮ On the Moisil-Theodoresco operator in orthogonal curvilinear coordinates
Cites Work
- On a polynomial basis generated from the generalized Kolosov-Muskhelishvili formulae
- Slice monogenic functions
- Approximation theorems for the Moisil-Theodorescu system
- Riemann boundary value problems on the sphere in Clifford analysis
- On monogenic series expansions with applications to linear elasticity
- ψ-Hyperholomorphic functions and a Kolosov-Muskhelishvili formula
- Three-dimensional Quaternionic Analogue of the Kolosov–Muskhelishvili Formulae
- Integral Operators in the Theory of Linear Partial Differential Equations
- Quaternionic analysis
- A hypercomplex derivative of monogenic functsions in and its Applications
- On the Hyperderivatives of Moisil–Théodoresco Hyperholomorphic Functions
- On monogenic primitives of monogenic functions
- On a spatial generalization of the Kolosov–Muskhelishvili formulae
- On Hypercomplex Differential and Primitivation Operators with Applications to Representation Formulae of Linear Elastostatics
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