Common Factors of Pell and Pell-Lucas numbers
Main Article Content
Abstract
In this paper, we present identities involving common factors of Pell and Pell-Lucas numbers and related identities consisting even and odd terms. We also present some generalized identities on the products of Pell and Pell-Lucas numbers. Binet’s formula will employ to obtain the identities.
Article Details
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
References
Bicknell N. A primer on the Pell sequence related sequence. Fibonacci Quart. 1975;13(4):345-9.
Dasdemir A. On the Pell, Pell-Lucas and Modified Pell Numbers by Matrix Method. Appl. Math. Sci. 2011;5(64):3173-81.
Gupta VK, and Panwar YK. Common Factors of Generalized Fibonacci, Jacobsthal and Jacobsthal-Lucas numbers. Int. J. Appl. Math. Res. 2012;1(4):377-82.
Halici S, Some sums formulae for products of terms of Pell, Pell-Lucas and Modified Pell Sequences. SAU┴".." Fen Bilimleri Dergisi. 2011;15(2):151-5.
Horadam AF. Basic properties of a certain generalized sequence of numbers. Fibonacci Quart. 1965;3(3):161-76.
Horadam AF. Special properties of the sequence w_n (a;b;p;q). Fibonacci Quart. 1967;5(4):424-34.
Koshy T. Fibonacci and Lucas Numbers with Applications, Wiley-Interscience Publication: New York; 2001.
Koshy T. Pell and Pell-Lucas Numbers with Applications. Springer Science+Business Media: New York; 2014.
Panwar YK, Singh B, Gupta VK. Generalized Identities Involving Common Factors of Generalized Fibonacci, Jacobsthal and Jacobsthal-Lucas numbers. Int. J. Anal. Application. 2013;3(1):53-9.
Panwar YK, Singh B, Gupta VK. Identities Involving Common Factors of Generalized Fibonacci, Jacobsthal and Jacobsthal-Lucas numbers. Appl. M. Phys+. 2013;1(4):126-8.
Singh B, Bhadouria P, Sikhwal O. Generalized Identities Involving Common Factors of Fibonacci and Lucas Numbers. Int. J. Algeb. 2013;5(13):637-45.
Singh B, Sisodiya K, Ahmed F. On the Products of k-Fibonacci Numbers and k-Lucas Numbers. Int. J. M. Math. Sci. 2014.
Thongmoon M. Identities for the common factors of Fibonacci and Lucas numbers. Int. Math. Forum. 2009;4(7):303–8.
Thongmoon M. New identities for the even and odd Fibonacci and Lucas numbers. Int. J. Contemporary Math. Sci. 2009;4(14):671–6.
Yilmaz N, Taskara N, Uslu K, Yazlik Y. On the binomial sums of k-Fibonacci and k-Lucas sequences, Proceedings of the International Conference on Numerical Analysis and Applied Mathematics (ICNAAM’11) 2011: p. 341–4.