relation: http://eprints.zu.edu.ua/28514/
title: Quaternionic G–Monogenic Mappings in Em
creator: Shpakivskyi, V. S.
creator: Kuzmenko, T. S.
subject: Математичний аналіз
description: We consider a class of so-called quaternionic G-monogenic mappings associated with m-dimensional (m 2 f2; 3; 4g) partial differential equations and propose a description of all mappings  from this class by using four analytic functions of complex variable. For G-monogenic mappings we  generalize some analogues of classical integral theorems of the holomorphic function theory of the  complex variable (the surface and the curvilinear Cauchy integral theorems, the Cauchy integral formula,  the Morera theorem), and Taylor’s and Laurent’s expansions. Moreover, we investigated the  relation between G-monogenic and H-monogenic (differentiable in the sense of Hausdorff) quaternionic  mappings.
publisher: SciPress Ltd., Switzerland
date: 2018
type: Стаття
type: PeerReviewed
format: text
language: en
identifier: http://eprints.zu.edu.ua/28514/1/IJARM.12.1.pdf
identifier:   Shpakivskyi, V. S., Kuzmenko, T. S.  (2018) Quaternionic G–Monogenic Mappings in Em.  International Journal of Advanced Research in Mathematics, 12.  с. 1-34.  ISSN 2297-6213     
language: english