Publisher : Department of Mathematics, Kyungpook National University
DOI : 10.5666/KMJ.2016.56.2.367
Title & Authors
Some Properties of (p, q) - Lucas Number Suvarnamani, Alongkot;
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.
Lucas Number;Generalized Lucas Sequence;Binet`s Formula;
C. Bolat, A. Ipeck and H. Kose, On the Sequence Related to Lucas Numbers and Its Properties, Mathematica Aeterna, 2(2012), 63-75.
S. Falcon and A. Plaza, On the k-Fibonacci Numbers, Chaos, Solitons and Fractals, 32(2007), 1615-1624.
S. Falcon, On the k-Lucas Numbers, International Journal of Contemporary Mathematical Sciences, 6(2011), 1039-1050.
T. Koshy, Fibonacci and Lucas Numbers with Applications, Wiley-Interscience, New York, NY, USA, 2001.
S. Vajda, Fibonacci and Lucas Numbers and the Golden Section, Ellis Horwood, Chichester, UK, 1989.
A. Suvarnamani and M. Tatong, Some Properties of (p, q) - Fibonacci Numbers, Science and Technology RMUTT Journal, 5(2)(2015), 17-21.
R. K. Raina and H. M. Srivastava, A class of numbers associated with the Lucas numbers, Math. Comput. Modelling, 25(7)(1997), 15-22.
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.