논문KCI 등재
Some identities and generating function for the k-Jacobsthal-Lucas sequence
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In this paper we obtain the Binet`s formula for k-Jacobsthal-Lucas numbers and as a consequence of this we obtain some properties for k-Jacobsthal-Lucas numbers. Also we are giving the generating function for the k-Jacobsthal-Lucas sequences.
Abstract
In this paper we obtain the Binet`s formula for k-Jacobsthal-Lucas numbers and as a consequence of this we obtain some properties for k-Jacobsthal-Lucas numbers. Also we are giving the generating function for the k-Jacobsthal-Lucas sequences.
참고문헌 (9)
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- F. Koken, "On the Jacobsthal numbers by matrix methods", Int. J. Contemp. Math. Sciences, 30(3), pp.605~614 (2008)
- F. Yilmaz, "The Generalized Order-k Jacobsthal Numbers", Int. J. Contemp. Math. Sciences, 34(4), pp.1685~1694 (2009)
- Gospava Djordjevic, "Some generalizations of the Jacobsthal numbers", Filomat, 24(2), pp.143~151 (2010), National Library of Serbia[DOI]
- P. Catarino, "On some identities and generating functions for k-Pell numbers", Int. Journal of Math. Analysis, 7(38), pp.1877~1884 (2013)
- S. Falco´n, "The k-Fibonacci sequence and the Pascal 2-triangle", Chaos, Solitons & Fractals, 33(1), pp.38~49 (2007)
- S. Arunkumar, "Relations on Jacobsthal numbers", Notes on Number Theory and Discrete Mathematics, 19(3), pp.21~23 (2013)
- S. Vajda, "Fibonacci and Lucas numbers, and the golden section, Theory and applications" (1989), Ellis Horwood
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