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

• Date: 2021
• Main Authors: Tkachuk, M. V., Plaksa, S. A., Ткачук, М. В., Плакса, С. А., Плакса, Сергей
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2021
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/6658
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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 Gate...