논문KCI 등재
Some Properties of (p, q) - Lucas Number
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초록
n 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.
Abstract
n 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.
참고문헌 (8)
- C. Bolat, "On the Sequence Related to Lucas Numbers and Its Properties", Mathematica Aeterna, 2, pp.63~75 (2012)
- S. Falcon, "On the k-Fibonacci Numbers", Chaos, Solitons and Fractals, 32, pp.1615~1624 (2007)
- S. Falcon, "On the k-Lucas Numbers", International Journal of Contemporary Mathematical Sciences, 6, pp.1039~1050 (2011)
- T. Koshy, "Fibonacci and Lucas Numbers with Applications" (2001), Wiley-Interscience
- S. Vajda, "Fibonacci and Lucas Numbers and the Golden Section" (1989), Ellis Horwood
- A. Suvarnamani, "Some Properties of (p; q) - Fibonacci Numbers", Science and Technology RMUTT Journal, 5(2), pp.17~21 (2015)
- R. K. Raina, "A class of numbers associated with the Lucas numbers", Math. Comput. Modelling, 25(7), pp.15~22 (1997)
- G. B. Djordjevicc, "Some generalizations of certain sequences associated with the Fibonacci numbers", J. Indonesian Math. Soc., 12, pp.99~112 (2006)
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