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Split hyperholomorphic function in Clifford analysis

손광호|임수진
한국수학교육학회|2015.02|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제22권 제1호|pp. 57-63

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참고문헌

키워드

Clifford analysissplit quaternionsplit hyperholomorphic function
주제분류수학

초록

We define a hyperholomorphic function with values in split quaternions, provide split hyperholomorphic mappings on Ω ⊂ ℂ^2 and research the properties of split hyperholomorphic functions.

Abstract

We define a hyperholomorphic function with values in split quaternions, provide split hyperholomorphic mappings on Ω ⊂ ℂ^2 and research the properties of split hyperholomorphic functions.

참고문헌 (10)

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  2. K. Carmody, "Circular and hyperbolic quaternions, octonions and sedenions-Further results", Appl. Math. Comput, 84(1), pp.27~47 (1997)
  3. C.A. Deavous, "The quaternion calculus", Am. Math. Mon, 80(9), pp.995~1008 (1973)
  4. J. Kajiwara, "International Colloquium on Finite or Infinite Dimensional Complex Analysis and its Applications, vol. 2." (2004), Kluwer Academic Publishers
  5. J. Kajiwara, "Function spaces in complex and Clifford analysis", International Colloquium on Finite or Infinite Dimensional Complex Analysis and its Applications, 14 (2006)
  6. Levent Kula, "Split quaternions and rotations in semi Euclidean space $\mathbb{E}_{2}^{4}$", 대한수학회지, 44(6), pp.1313~1327 (2007), 대한수학회
  7. S. Lang, "Calculus of several variables" (1987), Springer-Verlag
  8. E. Obolashvili, "Some partial differential equations in Clifford analysis", Banach Center Publ, 37(1), pp.173~179 (1996)
  9. M. Ä Ozdemir, "Rotations with unit timelike quaternions in Minkowski 3-space", J. Geom. Phys, 56(2), pp.322~336 (2006)
  10. S.J. Sangwine, "Quaternion polar representation with a complex modulus and complex argument inspired by the Cayley-Dickson form", Adv. in Appl. Cliff. Algs, 20(1), pp.111~120 (2010)

관련 논문AI추천

Hypermeromorphy of functions on split quaternions in Clifford analysis김지은, 손광호영남수학회 · East Asian Mathematical Journal2015 · 제31권 제5호Conic regular functions of conic quaternion variables in the sense of Clifford analysis김지은, 손광호영남수학회 · East Asian Mathematical Journal2015 · 제31권 제1호CHARACTERIZATIONS OF SEVERAL SPLIT REGULAR FUNCTIONS ON SPLIT QUATERNION IN CLIFFORD ANALYSIS강한울, 손광호, 조정영영남수학회 · East Asian Mathematical Journal2017 · 제33권 제3호Characterizations of Functions on Dual Octonion Variables in Clifford Analysis손광호, 임수미영남수학회 · East Asian Mathematical Journal2014 · 제30권 제3호SEDENION FUNCTIONS OF HYPERCOMPLEX VARIABLES IN THE SENSE OF CLIFFORD ANALYSIS박수현, 손광호영남수학회 · East Asian Mathematical Journal2013 · 제29권 제5호Properties of hyperholomorphic functions in Clifford analysis손광호, 임수진영남수학회 · East Asian Mathematical Journal2012 · 제28권 제5호

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