Geodesic
Expansion of implicit mapping theory to split-quaternionic maps in Clifford analysis
Filomat, Tome 35 (2021) no. 11, p. 3833

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

This paper presents the regularity of a split-quaternionic function and a corresponding split-Cauchy–Riemann system of a split quaternion. The properties of an inverse and an implicit mapping theory for a split-quaternionic map are investigated. In addition, the paper proposes a definition and expression for a split biregular mapping in an open set in C 2. The obtained results are illustrated with some examples
DOI : 10.2298/FIL2111833K
Classification : 32G35, 32W50, 32A99, 11E88
Keywords: split quaternion, regular function, differential operators, implicit mapping 
Ji Eun Kim; Kwang Ho Shon. Expansion of implicit mapping theory to split-quaternionic maps in Clifford analysis. Filomat, Tome 35 (2021) no. 11, p. 3833 . doi: 10.2298/FIL2111833K
@article{10_2298_FIL2111833K,
     author = {Ji Eun Kim and Kwang Ho Shon},
     title = {Expansion of implicit mapping theory to split-quaternionic maps in {Clifford} analysis},
     journal = {Filomat},
     pages = {3833 },
     year = {2021},
     volume = {35},
     number = {11},
     doi = {10.2298/FIL2111833K},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2111833K/}
}
TY  - JOUR
AU  - Ji Eun Kim
AU  - Kwang Ho Shon
TI  - Expansion of implicit mapping theory to split-quaternionic maps in Clifford analysis
JO  - Filomat
PY  - 2021
SP  - 3833 
VL  - 35
IS  - 11
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2111833K/
DO  - 10.2298/FIL2111833K
LA  - en
ID  - 10_2298_FIL2111833K
ER  - 
%0 Journal Article
%A Ji Eun Kim
%A Kwang Ho Shon
%T Expansion of implicit mapping theory to split-quaternionic maps in Clifford analysis
%J Filomat
%D 2021
%P 3833 
%V 35
%N 11
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2111833K/
%R 10.2298/FIL2111833K
%G en
%F 10_2298_FIL2111833K

Cité par Sources :