On a polynomial basis generated from the generalized Kolosov-Muskhelishvili formulae

DOI10.1007/S00006-009-0156-5zbMath1172.30022OpenAlexW2171850420MaRDI QIDQ833056

Sebastian Bock, Klaus Gürlebeck

Publication date: 11 August 2009

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-009-0156-5

zbMATH Keywords

Lamé systemKolosov-Muskhelishvili formulaesolid spherical monogenics

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Functions of hypercomplex variables and generalized variables (30G35)

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Representation of solutions of Lamé-Navier system ⋮ Solutions of Lamé-Navier system in ball shell domain ⋮ Complete orthonormal sets of polynomial solutions of the Riesz and Moisil-Teodorescu systems in \(\mathbb R^{3}\) ⋮ Three-dimensional Analogue of Kolosov–Muskhelishvili Formulae ⋮ Embedding factors for branching in Hermitian Clifford analysis ⋮ Orthonormal basis of the octonionic analytic functions ⋮ On a generalized Appell system and monogenic power series ⋮ Generalized Taylor series in hermitian Clifford analysis ⋮ On a three dimensional analogue to the holomorphicz-powers: power series and recurrence formulae

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