Geodesic
On properties of h-differentiable functions
Journal of the Belarusian State University. Mathematics and Informatics, Tome 2 (2021), pp. 29-37

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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.
Keywords: ring of h-complex numbers; zero divisors; h-differentiability; h-holomorphy; h-analyticity; finite increments of a function; zeros of a function; Taylor series. 
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     author = {V. A. Pavlovsky and I. L. Vasiliev},
     title = {On properties of h-differentiable functions},
     journal = {Journal of the Belarusian State University. Mathematics and Informatics},
     pages = {29--37},
     publisher = {mathdoc},
     volume = {2},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/BGUMI_2021_2_a2/}
}
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V. A. Pavlovsky; I. L. Vasiliev. On properties of h-differentiable functions. Journal of the Belarusian State University. Mathematics and Informatics, Tome 2 (2021), pp. 29-37. http://geodesic.mathdoc.fr/item/BGUMI_2021_2_a2/