Журнал Белорусского государственного университета: Математика, информатика (Aug 2021)

On properties of h-differentiable functions

  • Vladislav A. Pavlovsky,
  • Igor L. Vasiliev

DOI
https://doi.org/10.33581/2520-6508-2021-2-29-37
Journal volume & issue
no. 2
pp. 29 – 37

Abstract

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Research in the theory of functions of an h-complex variable is of interest in connection with existing applications in non-Euclidean geometry, theoretical mechanics, etc. This article is devoted to the study of the properties of h-differentiable functions. Criteria for h-differentiability and h-holomorphy are found, formulated and proved a theorem on finite increments for an h-holomorphic function. Sufficient conditions for h-analyticity are given, formulated and proved a uniqueness theorem for h-analytic functions.

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