论文标题

Menchov-Trokhimchuk定理的类似物在三维交换代数中单基因函数

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

论文作者

Tkachuk, M. V., Plaksa, S. A.

论文摘要

这项工作的目的是削弱在复数领域的一个具体三维交换代数中值的函数的单基质条件。该函数的单基因被理解为其连续性与Gato衍生物的存在的结合。

The aim of this work is to weaken the conditions of monogenity for functions that take values in 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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