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- Title
σ-monogenic functions in commutative algebras.
- Authors
Shpakivskyi, Vitalii
- Abstract
In finite-dimensional commutative associative algebra, the concept of σ-monogenic function is introduced. Necessary and sufficient conditions for σ-monogeneity have been established. In some low-dimensional algebras, with a special choice of σ, the representation of σ-monogenic functions is obtained using holomorphic functions of a complex variable. We proposed the application of σ-monogenic functions with values in two-dimensional biharmonic algebra to representation of solutions of two-dimensional biharmonic equation.
- Subjects
COMMUTATIVE algebra; FUNCTION algebras; CLIFFORD algebras; ASSOCIATIVE algebras; HOLOMORPHIC functions; REPRESENTATIONS of algebras
- Publication
Proceedings of the International Geometry Center, 2023, Vol 16, Issue 1, p17
- ISSN
2072-9812
- Publication type
Article
- DOI
10.15673/tmgc.v16i1.2421