호남수학학술지 (Honam Mathematical Journal)

  • 제38권4호
  • /
  • Pages.675-683
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  • 2016
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  • 1225-293X(pISSN)
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  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
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PROPERTIES OF FUNCTIONS WITH VALUES IN FIBONACCI QUATERNIONS IN CLIFFORD ANALYSIS

  • Kim, Ji Eun (Department of Mathematics, Pusan National University) ;
  • Shon, Kwang Ho (Department of Mathematics, Pusan National University)
  • 투고 : 2016.02.03
  • 심사 : 2016.10.14
  • 발행 : 2016.12.25
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초록

We give the representation of Fibonacci quaternions for convenient calculus. We research the corresponding properties of Fibonacci quaternions and some examples of a function with values in modified Fibonacci quaternions.

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참고문헌

  1. M. Akyigit, H.H. Kosal and M. Tosun, Split Fibonacci Quaternions, Adv Appl Clifford Al. 23 (2013), 535-545. https://doi.org/10.1007/s00006-013-0401-9
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  8. J. Kajiwara, X. D. Li and K. H. Shon, Function spaces in complex and Clifford analysis, Inhomo Cauchy-Riemann system quat Cliff anal ellip., Int Coll Finite or Infinite Dim Comp Anal Appl., Hue, Vietnam, Hue University 14 (2006), 127-155.
  9. J. E. Kim, S. J. Lim and K. H. Shon, Regular functions with values in ternary number system on the complex Clifford analysis, Abstr Appl Anal. 2013 Artical ID 136120 (2013), 7 pages.
  10. J. E. Kim, S. J. Lim and K. H. Shon, Regularity of functions on the reduced quaternion field in Clifford analysis, Abstr Appl Anal. 2014 Artical ID 654798 (2014), 8 pages.
  11. J. E. Kim and K. H. Shon, The Regularity of functions on Dual split quaternions in Clifford analysis, Abstr Appl Anal. 2014 Artical ID 369430 (2014), 8 pages.
  12. J. E. Kim and K. H. Shon, Polar Coordinate Expression of Hyperholomorphic Functions on Split Quaternions in Clifford Analysis, Adv Appl Clifford Alg. 25 (4) (2015), 915-924. https://doi.org/10.1007/s00006-015-0541-1
  13. J. E. Kim and K. H. Shon, Coset of hypercomplex numbers in Clifford analysis, Bull Korean Math Soc. 52(5) (2015), 1721-1728. https://doi.org/10.4134/BKMS.2015.52.5.1721
  14. J. E. Kim and K. H. Shon, Inverse Mapping Theory on Split Quaternions in Clifford Analysis, To appear in Filomat (2016).
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