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

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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.

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Authors and Affiliations

  1. Zhytomyr Ivan Franko State University, Zhytomyr, Ukraine

    Andrii L. Targonskii & Svitlana V. Chugaievska

Authors
  1. Andrii L. Targonskii
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  2. Svitlana V. Chugaievska
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Corresponding author

Correspondence to Andrii L. Targonskii.

Additional information

Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 19, No. 4, pp. 584–591, October–December, 2022.

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Targonskii, A.L., Chugaievska, S.V. Analytic functions of a vector argument and partially conformal mappings in continuum complex spaces. J Math Sci 270, 500–505 (2023). https://doi.org/10.1007/s10958-023-06359-4

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  • DOI: https://doi.org/10.1007/s10958-023-06359-4

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