Browse > Article
http://dx.doi.org/10.7858/eamj.2014.026

CHARACTERIZATIONS OF FUNCTIONS ON DUAL OCTONION VARIABLES IN CLIFFORD ANALYSIS  

Lim, Su Mi (Department of Mathematics, Pusan National University)
Shon, Kwang Ho (Department of Mathematics, Pusan National University)
Publication Information
Abstract
The aim of this paper is to de ne hyperholomorphic function with dual octonion variables in $\mathbb{C}^4{\times}\mathbb{C}^4$. We characterize properties of dual octonion variables in Clifford analysis.
Keywords
Clifford Analysis; hyperholomorphic function; octonion variables; dual number system; the corresponding o-Cauchy-Riemann equation;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 K. Nono, Hyperholomorphic functions of a quaternion variable, Bull. Fukuoka Univ. Ed. 32 (1983), 21-37.
2 H. S. Jung, S. J. Ha, K. H. Lee, S. M. Lim and K. H. Shon, Structures of hyperholo-morphic functions on dual quaternion numbers, Honam Mathematical J. 35 (2013), 809-817.   과학기술학회마을   DOI   ScienceOn
3 S. J. Lim and K. H. Shon, Hyperholomorphic functions and hyperconjugate harmonic functions of octonion variables, J. Inequa. Appl. 77 (2013), 1-8.
4 K. Nono and H. Koriyama, On regularities of octonionic functions and holomorphic mappings, Bull. Fukuoka Univ. Education 60 part III (2011), 11-28.
5 K. Nono, On the octonionic linearization of Laplacian and octonionic function theory, Bull. Fukuoka Univ. Ed. 37 (1988), 1-15.
6 P. Dentoni and M. Sce, Funzioni regolari nell'algebra di Cayley, Rend. Sem. Mat. Univ. Pador 50 (1973), 251-267.