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

2024/12/02 by M. V. Tkachuk, Tkachuk, M. V.
Computer Science · Mathematics · #13-11 #Algebraic and Geometric Analysis #Analysis of PDEs (math.AP) #Complex Variables (math.CV) #Differential Equations and Boundary Problems #FOS: Mathematics #Matrix Theory and Algorithms

paper · pdf · doi:10.48550/arxiv.2412.01870

openalex publication_date 2024/12/02 · openalex created_date 2024/12/06 · openalex updated_date 2026/07/28

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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