eprintid: 28409
rev_number: 13
eprint_status: archive
userid: 3588
dir: disk0/00/02/84/09
datestamp: 2019-02-26 09:21:57
lastmod: 2019-02-26 09:24:20
status_changed: 2019-02-26 09:21:57
type: article
metadata_visibility: show
title: On the Hausdorff Analyticity for Quaternion-Valued
Functions
language: english
abstract: We consider the concept of the Hausdorff analyticity for functions ranged in real
algebras and the corresponding notion of the Hausdorff derivative. Both apply to the
real algebraHof Hamilton’s quaternions. The main aim of thework is to compare them
with the well-known classes of H-valued functions which have their own definitions
of the derivative.
keywords: Hausdorff derivative · Quaternions · Quaternionic hyperholomorphic
functions · Quaternionic slice regular functions
creators_name: Luna-Elizarrarás, M. E.
creators_name: Shapiro, M.
creators_name: Шпакiвський, В. С.
ispublished: pub
subjects: QA77
divisions: sch_man
full_text_status: public
date: 2018-10
date_type: published
publication: Complex Analysis and Operator Theory
publisher: Springer
refereed: TRUE
issn: 1661-8254
citation:   Luna-Elizarrarás, M. E., Shapiro, M., Шпакiвський, В. С.  (2018) On the Hausdorff Analyticity for Quaternion-Valued Functions.  Complex Analysis and Operator Theory.   ISSN 1661-8254     
document_url: http://eprints.zu.edu.ua/28409/1/10.1007_s11785-018-0856-8.pdf