Article ID Journal Published Year Pages File Type
1888751 Chaos, Solitons & Fractals 2016 5 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Physics and Astronomy Statistical and Nonlinear Physics
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