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

Таргонський, А. Л., Чугаєвська, С. В. (2023) Analytic functions of a vector argument and partially conformal mappings in continuum complex spaces. Journal of Mathematical Sciences, 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 > Mathematical Analysis
Divisions:	Faculty of Physics and Mathematics > Department of Mathematical Analysis, Business Analysis and Statistics
Depositing User:	доцент Андрій Таргонський
Date Deposited:	22 Jun 2023 18:03
Last Modified:	22 Jun 2023 18:03
URI:	http://eprints.zu.edu.ua/id/eprint/37426

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