Constructive description of monogenic functions in a three-dimensional harmonic algebra with one-dimensional radical

DOI10.1007/s11253-013-0810-xzbMath1285.30031OpenAlexW2080681879MaRDI QIDQ2440082

Yanyan Li

Publication date: 27 March 2014

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-013-0810-x

zbMATH Keywords

monogenic functionharmonic algebra

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (4)

Curvilinear integral theorems for monogenic functions in commutative associative algebras ⋮ G-monogenic mappings in a three-dimensional noncommutative algebra ⋮ Monogenic functions in commutative algebras associated with classical equations of mathematical physics ⋮ On monogenic functions defined in different commutative algebras

Cites Work

• Unnamed Item
• Unnamed Item
• The representation of harmonic mappings by monogenic functions
• Monogenic functions in a biharmonic algebra
• Constructive description of monogenic functions in a harmonic algebra of the third rank
• Potential fields with axial symmetry and algebras of monogenic functions of vector variables. III
• Algebras of Functionally Invariant Solutions of the Three-Dimensional Laplace Equation
• Application of an Algebraic Technique to the Solution of Laplace’s Equation in Three Dimensions

This page was built for publication: Constructive description of monogenic functions in a three-dimensional harmonic algebra with one-dimensional radical