Analytic functions of a vector argument and partially conformal mappings in continuum complex spaces-Reference-Cited by-同舟云学术

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

Published:2023-01-30 Issue:4 Volume:19 Page:584-591
ISSN:1810-3200
Container-title:Ukrainian Mathematical Bulletin
language:uk
Short-container-title:UMB

Author:

Targonskii Andrii¹,Chugaievska Svitlana¹

Affiliation:

1. Zhytomyr Ivan Franko State University, Zhytomyr, Ukraine

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.

Publisher

Institute of Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine

Subject

Ocean Engineering

Reference17 articles.

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2. Bakhtin, A.K. (2011). Analytic functions of vector argument and partiallyconformal mappings in multidimensional complex spaces, 8th International ISAAC Congress: Abstracts, 1–9.

3. Bakhtin, A.K. (2012). Analytic functions of vector argument and partially conformal mappings in multidimensional complex spaces, Dop. NANU, 2, 13–18.

4. Bakhtin, A.K. (2009). Inequalities for the inner radii of nonoverlapping domains and open sets,Ukr. Math. J., 61 (5), 716–733. https://doi.org/10.1007/s11253-009-0247-4

5. Bakhtin, A.K. & Targonskii, A.L. (2005). Extremal problems and quadratic differential, Nonlin. Oscillations, 8 (3), 296–301. https://doi.org/10.1007/s11072-006-0002-9