Таргонський А. Л.
ORCID: https://orcid.org/0000-0002-0670-037X and Чугаєвська С. В.ORCID: https://orcid.org/0000-0002-9751-9647
(2023)
Analytic Functions of a Vector Argument and Partially Conformal Mappings in Continuum Complex Spaces.
Journal of Mathematical Sciences. Т. 270, № 3.
pp. 500-505.
ISSN 1072-3374.
DOI: 10.1007/s10958-023-06359-4.
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Abstract
A vector generalization of the main concepts in the theory of functions of a complex variable— the concepts of the modulus and the argument of the complex number—is proposed. The authors introduce a certain generalization of the concept of holomorphic functions and mappings in the case of continuum complex spaces.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Linear vector space, basis of space, continuum complex space, vector product of elements, Riemannian theorem |
| Subjects: | Q Science > QA Mathematics > QA77 Mathematical Analysis |
| Divisions: | Faculty of Physics and Mathematics > Department of Mathematical Analysis, Business Analytics and Statistics |
| Depositing User: | Андрій Леонідович Таргонський |
| Date Deposited: | 22 Jun 2023 21:03 |
| Last Modified: | 23 Aug 2026 22:39 |
| URI: | https://eprints.zu.edu.ua/id/eprint/37426 |
| ДСТУ 8302:2015: | Таргонський А. Л. and Чугаєвська С. В. Analytic Functions of a Vector Argument and Partially Conformal Mappings in Continuum Complex Spaces. Journal of Mathematical Sciences. 2023. Т. 270, № 3. pp. 500-505. DOI: 10.1007/s10958-023-06359-4. |
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