Publication
Title
Differentiable functions of quaternion variables
Author
Abstract
We investigate differentiability of functions defined on regions of the real quaternion field and obtain a noncommutative version of the Cauchy-Riemann conditions. Then we study the noncommutative analog of the Cauchy integral as well as criteria for functions of a quternion variable to be analytic. In particular, the quaternionic exponential and logarithmic functions are being considered. Main results include quaternion versions of Hurwitz' theorem, Mittag-Leffler's theorem and Weierstrass' theorem. (C) 2003 Editions scientifiques et medicales Elsevier SAS. All rights reserved.
Language
English
Source (journal)
Bulletin des sciences mathématiques. - Paris
Publication
Paris : 2003
ISSN
0007-4497
Volume/pages
127:9(2003), p. 755-796
ISI
000186564800001
Full text (Publisher's DOI)
Full text (open access)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 03.01.2013
Last edited 27.06.2017
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