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Characterizations of Functions on Dual Octonion Variables in Clifford Analysis

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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)

  1. P. Dentoni, "Funzioni regolari nell'algebra di Cayley", Rend. Sem. Mat. Univ. Pador, 50, pp.251~267 (1973)
  2. 정현석, "Structures of Hyperholomorphic Functions on Dual Quaternion Numbers", 호남수학학술지, 35(4), pp.809~817 (2013), 호남수학회
  3. S. J. Lim, "Hyperholomorphic functions and hyperconjugate harmonic functions of octonion variables", J. Inequa. Appl, 77, pp.1~8 (2013)
  4. K. Nono, "On regularities of octonionic functions and holomorphic mappings", Bull. Fukuoka Univ. Education, 60, pp.11~28 (2011)
  5. K. Nono, "Hyperholomorphic functions of a quaternion variable", Bull. Fukuoka Univ. Ed, 32, pp.21~37 (1983)
  6. K. Nono, "On the octonionic linearization of Laplacian and octonionic function theory", Bull. Fukuoka Univ. Ed, 37, pp.1~15 (1988)

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