ψ-Hyperholomorphic functions and a Kolosov-Muskhelishvili formula
From MaRDI portal
Publication:2795274
DOI10.1002/mma.3431zbMath1338.30043OpenAlexW1891718445MaRDI QIDQ2795274
Hung Manh Nguyen, Sebastian Bock, Dmitrii Legatiuk, Klaus Gürlebeck
Publication date: 18 March 2016
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.3431
Classical linear elasticity (74B05) Functions of hypercomplex variables and generalized variables (30G35)
Related Items (12)
Representation of solutions of Lamé-Navier system ⋮ Error estimates for the coupling of analytical and numerical solutions ⋮ Solutions of Lamé-Navier system in ball shell domain ⋮ Boundary value problems for the Lamé-Navier system in fractal domains ⋮ Commutative complex algebras of the second rank with unity and some cases of plane orthotropy. I ⋮ Representations of solutions of Lamé system with real coefficients via monogenic functions in the biharmonic algebra ⋮ Fundamental solutions of the Stokes system in quaternion analysis ⋮ Some remarks on Trefftz type approximations ⋮ Three-dimensional Analogue of Kolosov–Muskhelishvili Formulae ⋮ Integral representation formulas related to the Lamé-Navier system ⋮ Reconstruction of solutions to a generalized Moisil-Teodorescu system in Jordan domains with rectifiable boundary ⋮ On a generalized Lamé-Navier system in \(\mathbb{R}^3\)
Cites Work
- A survey on the (hyper-) derivatives in complex, quaternionic and Clifford analysis
- On Helmholtz's theorem and the completeness of the Papkovich-Neuber stress functions for infinite domains
- The use of complex valued functions for the solution of three-dimensional elasticity problems
- On the representation of elastic displacement fields in terms of three harmonic functions
- On the representation of three-dimensional elasticity solutions with the aid of complex valued functions
- Contragenic functions of three variables
- On monogenic series expansions with applications to linear elasticity
- A hypercomplex derivative of monogenic functsions in and its Applications
- Quaternionic ψ-hyperholomorphic functions, singular integral operators and boundary value problems I. ψ-hyperholomorphic function theory
- On a spatial generalization of the Kolosov–Muskhelishvili formulae
- [https://portal.mardi4nfdi.de/wiki/Publication:5649488 Vollst�ndigkeitsbeweis des Dreifunktionenansatzes der linearen Elastizit�tstheorie]
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: ψ-Hyperholomorphic functions and a Kolosov-Muskhelishvili formula
