Constructive description of monogenic functions in a harmonic algebra of the third rank

• Date: 2010
• Main Authors: Plaksa, S. A., Shpakovskii, V. S., Плакса, С. А., Шпаковский, В. С.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2010
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2938
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

By using analytic functions of a complex variable, we give a constructive description of monogenic functions that take values in a commutative harmonic algebra of the third rank over the field of complex numbers. We establish an isomorphism between algebras of monogenic functions in the case of tran...