Kyungpook Mathematical Journal

  • 제56권2호
  • /
  • Pages.367-370
  • /
  • 2016
  • /
  • 1225-6951(pISSN)
  • /
  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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Some Properties of (p, q) - Lucas Number

  • 투고 : 2015.06.11
  • 심사 : 2016.02.26
  • 발행 : 2016.06.23
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초록

In this paper, we consider the generalized Lucas sequence which is the (p, q) - Lucas sequence. Then we used the Binet's formula to show some properties of the (p, q) - Lucas number. We get some generalized identities of the (p, q) - Lucas number.

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참고문헌

  1. C. Bolat, A. Ipeck and H. Kose, On the Sequence Related to Lucas Numbers and Its Properties, Mathematica Aeterna, 2(2012), 63-75.
  2. S. Falcon and A. Plaza, On the k-Fibonacci Numbers, Chaos, Solitons and Fractals, 32(2007), 1615-1624. https://doi.org/10.1016/j.chaos.2006.09.022
  3. S. Falcon, On the k-Lucas Numbers, International Journal of Contemporary Mathematical Sciences, 6(2011), 1039-1050.
  4. T. Koshy, Fibonacci and Lucas Numbers with Applications, Wiley-Interscience, New York, NY, USA, 2001.
  5. S. Vajda, Fibonacci and Lucas Numbers and the Golden Section, Ellis Horwood, Chichester, UK, 1989.
  6. A. Suvarnamani and M. Tatong, Some Properties of (p, q) - Fibonacci Numbers, Science and Technology RMUTT Journal, 5(2)(2015), 17-21.
  7. R. K. Raina and H. M. Srivastava, A class of numbers associated with the Lucas numbers, Math. Comput. Modelling, 25(7)(1997), 15-22. https://doi.org/10.1016/S0895-7177(97)00045-9
  8. G. B. Djordjevic'c and H. M. Srivastava, Some generalizations of certain sequences associated with the Fibonacci numbers, J. Indonesian Math. Soc., 12(2006), 99-112.

피인용 문헌

  1. Some properties of the generalized (p,q)- Fibonacci-Like number vol.189, pp.2261-236X, 2018, https://doi.org/10.1051/matecconf/201818903028