DOI QR코드

DOI QR Code

SEDENION FUNCTIONS OF HYPERCOMPLEX VARIABLES IN THE SENSE OF CLIFFORD ANALYSIS

  • Park, Su Hyun (Department of Mathematics, Pusan National University) ;
  • Shon, Kwang Ho (Department of Mathematics, Pusan National University)
  • Received : 2013.10.14
  • Accepted : 2013.11.12
  • Published : 2013.11.30

Abstract

The aim of this paper is to define hyperholomorphic function with sedenion variables in $\mathbb{C}^8$ and research the properties of hyperholomorphic functions of sedenion variables. We generalize the properties of hyperholomorphic functions in sedenionic analysis.

Keywords

References

  1. C. A . Deavours, The quaternion calculus, Amer. Math. Monthly 80 (1973), 995-1008. https://doi.org/10.2307/2318774
  2. J. Kajiwara, X. D. Li, and K. H. Shon, 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 Vol. 2, Kluwer Academic Publishers (2004), 287-298.
  3. S. J. Lim and K. H. Shon, Hyperholomorphic functions and hyper-conjugate harmonic functions of octonion variables, J. Inequa. Appl. 77 (2013), 1-8.
  4. M. Naser, Hyperholomorphic functions, Siberian Math. J. 12 (1971), 959-968.
  5. K. Nono, Hyperholomorphic functions of a quaternion variable, Bull. Fukuoka Univ. Ed. 32 (1983), 21-37.
  6. K. Nono, Characterization of domains of holomorphy by the existence of hyper-conjugate harmonic functions, Rev. Roumaine Math. Pures Appl. 31 (1986), no. 2, 159-161.
  7. K. Nono, Domains of Hyperholomorphic in ${\mathbb{C}}^2{\times}{\mathbb{C}}^2$, Bull. Fukuoka Univ. Ed. 36 (1987), 1-9.

Cited by

  1. PROPERTIES OF HYPERHOLOMORPHIC FUNCTIONS ON DUAL SEDENION NUMBERS vol.36, pp.4, 2013, https://doi.org/10.5831/hmj.2014.36.4.921