Generalized identities involving common factors of k-Generalized Fibonacci, k-Jacobsthal and k-Jacobsthal-Lucas numbers

Main Article Content

Wanna Sriprad
Waratchaya Cherdchanpipat
Kamonwan Thaweesuksatien
Passakorn Yordsorn

Abstract

In this paper, we present generalized identities involving common factors of k-generalized Fibonacci, k-Jacobsthal and k-Jacobsthal-Lucas numbers and related identities. Binet’s formula will employ to obtain the identities.

Article Details

How to Cite
1.
Sriprad W, Cherdchanpipat W, Thaweesuksatien K, Yordsorn P. Generalized identities involving common factors of k-Generalized Fibonacci, k-Jacobsthal and k-Jacobsthal-Lucas numbers . Prog Appl Sci Tech. [Internet]. 2015 Jun. 30 [cited 2024 May 3];5(1):77-82. Available from: https://ph02.tci-thaijo.org/index.php/past/article/view/243209
Section
Mathematics and Applied Statistics

References

H. Campos, P. Catarino, A.P. Aires, P. Vasco, and A. Borges. On Some Identities for -Jacobsthal –Lucas Number. Int Journal of Math. Analysis. 8(10) (2014): 489-494.

S. Falco´n, Plaza, A. The k-Fibonacci sequence and the Pascal 2-triangle. Chaos, Solitons & Fractals. 33 (1) (2007): 38-49.

AF. Horadam. Jacobsthal Number Representation. The Fibonacci Quarterly. 34(1) (1986): 79-83.

AF. Horadam. Jacobsthal and Pell curves. The Fibonacci Quarterly. 26(1) (1988): 79-83.

D. Jhala, K. Sisodiya, and G.P.S.Rathore, On Some Identities for -Jacobsthal Number. Int Journal of Math. Analysis. 7(12) (2013): 551-556.

Y. K. Panwar, B. Singh and V. K. Gupta. Generalized Identities Involving Common factors of generalized Fibonacci, Jacobsthal and Jacobsthal-Lucas numbers. International Journal of Analysis and Application. 3(1) (2013): 53-59.

Y. K. Panwar, B. Singh and V. K. Gupta. Identities of Common Factors of generalized Fibonacci, Jacobsthal and Jacobsthal-Lucas numbers. Applied Mathematics and Physics. 1(4) (2013): 126-128.

Y. K. Panwer, M. Singh. - Generalized Fibonacci Numbers. Applied Mathematics and Physics. 2(1) (2014): 10-12.

B.Singh, P. Bhadouria and O. Sikhwal. Generalized Identities Involving Common Factors of Fibonacci and Lucas Numbers. International Journal of Algebra. 5(13) (2011): 637-645.

M. Thongmoon. New Identities for the Even and Odd Fibonacci and Lucas Numbers. Int. J. Contemp. Math. Sciences. 4(14) (2009): 671-676.

M. Thongmoon. Identities for the common factors of Fibonacci and Lucas numbers. International Mathematical Forum. 4(7) (2009): 303-308.