Analog of Menchov-Trokhimchuk theorem for monogenic functions in subspace of the three-dimensional commutative algebra
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866912141595901952 |
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| author | Tkachuk, M. V. |
| author_facet | Tkachuk, M. V. |
| contents | The aim of this work is to weaken the conditions of monogenity for functions that take values in subspaces of one concrete three-dimensional commutative algebras over the field of complex numbers. The monogenity of the function understood as a combination of its continuity with the existence of a Gato derivative. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_01870 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Analog of Menchov-Trokhimchuk theorem for monogenic functions in subspace of the three-dimensional commutative algebra Tkachuk, M. V. Complex Variables Analysis of PDEs 13-11 The aim of this work is to weaken the conditions of monogenity for functions that take values in subspaces of one concrete three-dimensional commutative algebras over the field of complex numbers. The monogenity of the function understood as a combination of its continuity with the existence of a Gato derivative. |
| title | Analog of Menchov-Trokhimchuk theorem for monogenic functions in subspace of the three-dimensional commutative algebra |
| topic | Complex Variables Analysis of PDEs 13-11 |
| url | https://arxiv.org/abs/2412.01870 |