논문KCI 등재
Characterizations of Functions on Dual Octonion Variables in Clifford Analysis
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
The aim of this paper is to define hyperholomorphic functions with dual octonion variables in $\mathbb{C}^4\times \mathbb{C}^4$. We characterize properties of dual octonion variables in Clifford analysis.
Abstract
The aim of this paper is to define hyperholomorphic functions with dual octonion variables in $\mathbb{C}^4\times \mathbb{C}^4$. We characterize properties of dual octonion variables in Clifford analysis.
참고문헌 (6)
- P. Dentoni, "Funzioni regolari nell'algebra di Cayley", Rend. Sem. Mat. Univ. Pador, 50, pp.251~267 (1973)
- 정현석, "Structures of Hyperholomorphic Functions on Dual Quaternion Numbers", 호남수학학술지, 35(4), pp.809~817 (2013), 호남수학회
- S. J. Lim, "Hyperholomorphic functions and hyperconjugate harmonic functions of octonion variables", J. Inequa. Appl, 77, pp.1~8 (2013)
- K. Nono, "On regularities of octonionic functions and holomorphic mappings", Bull. Fukuoka Univ. Education, 60, pp.11~28 (2011)
- K. Nono, "Hyperholomorphic functions of a quaternion variable", Bull. Fukuoka Univ. Ed, 32, pp.21~37 (1983)
- K. Nono, "On the octonionic linearization of Laplacian and octonionic function theory", Bull. Fukuoka Univ. Ed, 37, pp.1~15 (1988)
관련 논문AI추천
Hypermeromorphy of functions on split quaternions in Clifford analysis김지은, 손광호영남수학회 · East Asian Mathematical Journal2015 · 제31권 제5호A polar representation of a regularity of a dual quaternionic function in Clifford analysis김지은, 손광호대한수학회 · 대한수학회보2017 · 제54권 제2호Relations of L-regular functions on quaternions in Clifford analysis강한울, 손광호영남수학회 · East Asian Mathematical Journal2015 · 제31권 제5호SEDENION FUNCTIONS OF HYPERCOMPLEX VARIABLES IN THE SENSE OF CLIFFORD ANALYSIS박수현, 손광호영남수학회 · East Asian Mathematical Journal2013 · 제29권 제5호DUAL QUATERNIONIC REGULAR FUNCTION OF DUAL QUATERNION VARIABLES김지은, 손광호한국수학교육학회 · 이론수학과 교직수학2016 · 제23권 제1호Characterization of a regular function with values in dual quaternions김지은, 손광호한국수학교육학회 · 이론수학과 교직수학2015 · 제22권 제1호
이 간행물의 다른 논문 (12건)
Energy Decay Rates for the Kirchhoff Type Wave Equation with Balakrishnan-Taylor Damping and Acoustic Boundary강용한pp. 249-258On Generalized Triangular Matrix Rings박준원, 천장호pp. 259-270The Hyers-Ulam Stability of Cubic Functrional Equations in Fuzzy Banach Spaces김창일, 윤용식pp. 271-281Certain Fractional Integral Inequalities Involving Hypergeometric Operators최준상, Praveen Agarwalpp. 283-291Revisit to Connected Alexander Quandles of Small Orders via Fixed Point Free Automorphisms of Finite Abelian Groups심효섭, 송현종pp. 293-302
