An analog of the Men’shov – Trokhimchuk theorem for monogenic functions in a three-dimensional commutative algebra

  • M. V. Tkachuk Institute of Mathematics of the National Academy of Sciences of Ukraine, Kyiv
  • S. A. Plaksa Institute of Mathematics of the Natianal Academy of Sciences of Ukraine

Abstract

UDC 517.54

The aim of this work is to weaken the conditions of monogeneity for functions that take values in a given three-dimensional commutative algebra over the field of complex numbers.
The monogeneity of the function is understood as a combination of its continuity and the existence of the Gateaux derivative.

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Published
18.08.2021
How to Cite
Tkachuk, M. V., and S. A. Plaksa. “An Analog of the Men’shov – Trokhimchuk Theorem for Monogenic Functions in a Three-Dimensional Commutative Algebra”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 73, no. 8, Aug. 2021, pp. 1120 -28, doi:10.37863/umzh.v73i8.6658.
Section
Research articles