An extension of monogenic functions and spatial potentials

DOI10.1134/S1995080217020160zbMath1379.46035MaRDI QIDQ2357043

Yanyan Li

Publication date: 16 June 2017

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Laplace equationtopological vector spacemonogenic functionharmonic algebraCauchy-Riemann conditionsdifferentiable in the sense of Gâteaux functionsspatial potentials

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Derivatives of functions in infinite-dimensional spaces (46G05) Other generalizations of analytic functions (including abstract-valued functions) (30G30)

Related Items (max. 100)

Monogenic functions and harmonic vectors ⋮ Monogenic functions in commutative algebras associated with classical equations of mathematical physics

Cites Work

• The representation of harmonic mappings by monogenic functions
• Potential fields with axial symmetry and algebras of monogenic functions of a vector variable. I
• Commutative Algebras Associated with Classic Equations of Mathematical Physics
• Cauchy theorem for a surface integral in commutative algebras
• 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
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