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

Article Sidebar

PDF
Published: Jun 30, 2015
Keywords:
generalized Fibonacci numbers Jacobsthal numbers Jacobsthal-Lucas numbers k-generalized Fibonacci numbers k-Jacobsthal numbers k-Jacobsthal-Lucas numbers Binet’s formula

Main Article Content

Wanna Sriprad
Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi
Waratchaya Cherdchanpipat
Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi
Kamonwan Thaweesuksatien
Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi
Passakorn Yordsorn
Faculty of Science and Technology, Rajabhat Rajanagarindra University

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 Nov. 15];5(1):77-82. Available from: https://ph02.tci-thaijo.org/index.php/past/article/view/243209
Issue
Vol. 5 No. 1 (2015): January - June 2015
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.