Constructive description of monogenic functions in a three-dimensional harmonic algebra with one-dimensional radical

We present a constructive description of monogenic functions that take values in a three-dimensional commutative harmonic algebra with one-dimensional radical by using analytic functions of complex variable. It is shown that monogenic functions have the Gâteaux derivatives of all orders.

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Bibliographic Details
Date:2013
Main Authors: Plaksa, S. A., Pukhtaevich, R. P., Плакса, С. А., Пухтаевич, Р. П.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2013
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2450
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal