σ-monogenic functions in commutative algebras
| dc.contributor.author | Vitalii Shpakivskyi | |
| dc.date.accessioned | 2023-05-10T13:23:46Z | |
| dc.date.available | 2023-05-10T13:23:46Z | |
| dc.date.issued | 2023 | |
| dc.description.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. | |
| dc.identifier.issn | 2409-8906 | |
| dc.identifier.uri | https://card-file.ontu.edu.ua/handle/123456789/25010 | |
| dc.source | Proceedings of the International Geometry Center | |
| dc.title | σ-monogenic functions in commutative algebras |