Please use this identifier to cite or link to this item: http://hdl.handle.net/10553/52493
Title: The k-Fibonacci difference sequences
Authors: Falcon, Sergio 
UNESCO Clasification: 12 Matemáticas
Keywords: Binet identity
Finite difference
k-Fibonacci numbers
Polynomial interpolation
11B39
11D68
Issue Date: 2016
Journal: Chaos, Solitons and Fractals 
Abstract: In this paper we apply the concept of difference relation to the sequences of k-Fibonacci numbers. We will obtain general formulas to find any term of the ith k-Fibonacci difference sequence from the initial k-Fibonacci numbers. We also find formulas for the sum of the elements of these new sequences as well as their generating functions. Finally, we study the k-Fibonacci Newton polynomial interpolation.
URI: http://hdl.handle.net/10553/52493
ISSN: 0960-0779
DOI: 10.1016/j.chaos.2016.03.038
Source: Chaos, Solitons and Fractals[ISSN 0960-0779],v. 87, p. 153-157
Appears in Collections:Reseña
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