eprintid: 28514
rev_number: 11
eprint_status: archive
userid: 3588
dir: disk0/00/02/85/14
datestamp: 2019-03-04 10:48:59
lastmod: 2019-03-04 10:48:59
status_changed: 2019-03-04 10:48:59
type: article
metadata_visibility: show
title: Quaternionic G–Monogenic Mappings in Em
language: english
abstract: 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.
keywords: complex quaternions algebra, Gâteaux derivative, G-monogenic mappings, constructive
description, integral theorems, Taylor’s and Laurent’s expansions, singular points, H-monogenic
mappings.
creators_name: Shpakivskyi, V. S.
creators_name: Kuzmenko, T. S.
ispublished: pub
subjects: QA77
divisions: sch_man
full_text_status: public
date: 2018
date_type: published
publication: International Journal of Advanced Research in Mathematics
volume: 12
publisher: SciPress Ltd., Switzerland
pagerange: 1-34
refereed: TRUE
issn: 2297-6213
citation:   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     
document_url: http://eprints.zu.edu.ua/28514/1/IJARM.12.1.pdf