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arXiv · 2412.01870

Analog of Menchov-Trokhimchuk theorem for monogenic functions in subspace of the three-dimensional commutative algebra

M. V. Tkachuk
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Abstract

The aim of this work is to weaken the conditions of monogenity for functions that take values in subspaces of one concrete three-dimensional commutative algebras over the field of complex numbers. The monogenity of the function understood as a combination of its continuity with the existence of a Gato derivative.

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BibTeXRIS

M. V. Tkachuk. 2024-12-02. Analog of Menchov-Trokhimchuk theorem for monogenic functions in subspace of the three-dimensional commutative algebra. https://arxiv.org/abs/2412.01870

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