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- W4313433196 abstract "In this paper, we consider the properties of uniformly convergent sequences of h -holomorphic functions on the set of h -complex numbers. Theorems on the global antiderivative and on the uniform approximation of h -holomorphic functions by polynomials are formulated and proven. The sufficient conditions for the h -holomorphism of the limit function are obtained. The compactness principle for functions of an h -complex variable and an analog of Vitaliʼs theorem for h -analytic functions are formulated and proven." @default.
- W4313433196 created "2023-01-06" @default.
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- W4313433196 date "2023-01-01" @default.
- W4313433196 modified "2023-10-16" @default.
- W4313433196 title "The compactness principle and Vitaliʼs theorem for <i>h</i>-holomorphic functions" @default.
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- W4313433196 doi "https://doi.org/10.29235/1561-2430-2022-58-4-381-388" @default.
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