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Analytic functions of a vector argument and partially conformal mappings in continuum complex spaces

Таргонський А. Л. and Чугаєвська С. В. (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.

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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: 22 Jun 2023 21:03
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.

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