논문KCI 등재
Conic regular functions of conic quaternion variables in the sense of Clifford analysis
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
The aim of this paper is to research certain properties of conic regular functions of conic quaternion variables in C². We generalize the properties of conic regular functions and the Cauchy theorem of conic regular functions in conic quaternion analysis.
Abstract
The aim of this paper is to research certain properties of conic regular functions of conic quaternion variables in C². We generalize the properties of conic regular functions and the Cauchy theorem of conic regular functions in conic quaternion analysis.
참고문헌 (15)
- J. Kajiwara, "Regeneration in Complex, Quaternion and Clifford analysis", Proc. the 9th(2001) Internatioal Conf. on Finite or Infinite Dimensional Complex Analysis and Applications, Advances in Complex Analysis and Its Applications, 2, pp.287~298 (2004), Kluwer Academic Publishers
- J. Kajiwara, "Function spaces in Complex and Clifford Analysis, Inhomogeneous Caychy Rie-mann system of quaternion and Clifford analysis in ellipsoid", Proc. the 14th Internatioal Conf. on Finite or Infinite Dimensional Complex Analysis and Applications, 14, pp.127~155 (2006)
- 김지은, "TAYLOR SERIES OF FUNCTIONS WITH VALUES IN DUAL QUATERNION", 순수 및 응용수학, 20(4), pp.251~258 (2013), 한국수학교육학회
- J. E. Kim, "Regular functions with values in ternary number system on the complex Clifford analysis", Abstr. Appl. Anal, 2013, pp.7~ (2013)
- J. E. Kim, "Regularity of functions on the reduced quaternion field in Clifford analysis", Abstr. Appl. Anal, 2014, pp.8~ (2014)
- J. E. Kim, "The Regularity of functions on Dual split quaternions in Clifford analysis", Abstr. Appl. Anal, 2014, pp.8~ (2014)
- H. Koriyama, "Hyperholomorphic Fucntions and Holomorphic Func-tions in Quaternionic Analysis", Bull. Fukuoka Univ. Education, 60, pp.1~9 (2011)
- S. J. Lim, "Hyperholomorphic fucntions and hyperconjugate harmonic functions of octonion variables", J. Inequal. Appl, 77, pp.1~8 (2013)
- S. J. Lim, "Dual quaternion functions and its applications", J. Appl. Math, pp.6~ (2013)
- C. Muses, "Applied hypernumbers: computational concepts", Appl. Math. Comput, 3(3), pp.211226~ (1977)
- C. Muses, "Hypernumbers and time operators", Appl. Math. Comput, 12(2-3), pp.139167~ (1983)
- K. Nono, "Hyperholomorphic functions of a quaternion variable", Bull. Fukuoka Univ. Ed, 32, pp.21~37 (1983)
- K. Nono, "Domains of Hyperholomorphic in C2 C2", Bull. Fukuoka Univ. Ed, 36, pp.1~9 (1987)
- A. Sudbery, "Quaternionic analysis", Math. Proc. Camb. Phil. Soc., 85, pp.199~225 (1979)
관련 논문AI추천
Hyper-conjugate harmonic function of conic regular functions in conic quaternions김지은, 손광호영남수학회 · East Asian Mathematical Journal2015 · 제31권 제1호A polar representation of a regularity of a dual quaternionic function in Clifford analysis김지은, 손광호대한수학회 · 대한수학회보2017 · 제54권 제2호Split hyperholomorphic function in Clifford analysis손광호, 임수진한국수학교육학회 · 이론수학과 교직수학2015 · 제22권 제1호Relations of L-regular functions on quaternions in Clifford analysis강한울, 손광호영남수학회 · East Asian Mathematical Journal2015 · 제31권 제5호Hypermeromorphy of functions on split quaternions in Clifford analysis김지은, 손광호영남수학회 · East Asian Mathematical Journal2015 · 제31권 제5호Characterizations of Functions on Dual Octonion Variables in Clifford Analysis손광호, 임수미영남수학회 · East Asian Mathematical Journal2014 · 제30권 제3호
이 간행물의 다른 논문 (13건)
CHARACTERIZATIONS OF HEMIRINGS BY (∈, ∈ Vq)-FUZZY IDEALSYasir Nawaz, Muhammad Shabir, Tahir Mahmoodpp. 1-18Periodicities of some additive cellular automata김재겸pp. 19-25Lightlike hypersurfaces of a Lorentz manifold with a semi-symmetric non-metric connection진대호pp. 27-32Lightlike submanifolds of a semi-Riemannian manifold with a semi-symmetric non-metric connection신종문pp. 33-40Certain integral representations of Generalized Stieltjes constants γk(a)신종문pp. 41-53