논문KCI 등재
SEDENION FUNCTIONS OF HYPERCOMPLEX VARIABLES IN THE SENSE OF CLIFFORD ANALYSIS
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초록
The aim of this paper is to define hyperholomorphic functions with sedenion variables in C8 and research the properties of hyperholo- morphic functions of sedenion variables. We generalize the properties of hyperholomorphic functions in sedenionic analysis.
Abstract
The aim of this paper is to define hyperholomorphic functions with sedenion variables in C8 and research the properties of hyperholo- morphic functions of sedenion variables. We generalize the properties of hyperholomorphic functions in sedenionic analysis.
참고문헌 (7)
- C. A . Deavours, "The quaternion calculus", Amer. Math. Monthly, 80, pp.995~1008 (1973)
- J. Kajiwara, "Regeneration in Complex, Quaternion and Clifford analysis, In Advances in Complex Analysis and Its Applications", Proc. the 9th(2001) Internatioal Conf. on Finite or Infinite Dimensional Complex Analysis and Applications, 2, pp.287~298 (2004)
- S. J. Lim, "Hyperholomorphic functions and hyper-conjugate harmonic functions of octonion variables", J. Inequa. Appl, 77, pp.1~8 (2013)
- M. Naser, "Hyperholomorphic functions", Siberian Math. J, 12, pp.959~968 (1971)
- K. Nono, "Hyperholomorphic functions of a quaternion variable", Bull. Fukuoka Univ. Ed, 32, pp.21~37 (1983)
- K. Nono, "Characterization of domains of holomorphy by the existence of hyper-conjugate harmonic functions", Rev. Roumaine Math. Pures Appl, 31(2), pp.159~161 (1986)
- K. Nono, "Domains of Hyperholomorphic in C2xC2", Bull. Fukuoka Univ. Ed, 36, pp.1~9 (1987)
관련 논문AI추천
Characterizations of Functions on Dual Octonion Variables in Clifford Analysis손광호, 임수미영남수학회 · East Asian Mathematical Journal2014 · 제30권 제3호Split hyperholomorphic function in Clifford analysis손광호, 임수진한국수학교육학회 · 이론수학과 교직수학2015 · 제22권 제1호Properties of hyperholomorphic functions in Clifford analysis손광호, 임수진영남수학회 · East Asian Mathematical Journal2012 · 제28권 제5호Conic regular functions of conic quaternion variables in the sense of Clifford analysis김지은, 손광호영남수학회 · East Asian Mathematical Journal2015 · 제31권 제1호Hypermeromorphy of functions on split quaternions in Clifford analysis김지은, 손광호영남수학회 · East Asian Mathematical Journal2015 · 제31권 제5호COSET OF A HYPERCOMPLEX NUMBER SYSTEM IN CLIFFORD ANALYSIS김지은, 손광호대한수학회 · 대한수학회보2015 · 제52권 제5호
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