Representation of some classes of quaternionic hyperholomorphic functions

In the algebra of complex quaternions H(C) we consider the left- and right-ψ-hyperholomorphic functions, and left-Λ — ψ-hyperholomorphic functions. We justify the transition in left- and right-ψ-hyperholomorphic functions to a simpler basis i.e., to the Cartan basis. Using Cartan's basis we...

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Bibliographic Details
Date:2025
Main Authors: Kuzmenko, Tetiana, Shpakivskyi, Vitalii, Кузьменко, Тетяна, Шпаківський, Віталій
Format: Article
Language:Ukrainian
Published: Інститут математики НАН України 2025
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/543
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Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine