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http://hdl.handle.net/10553/49157
Title: | On k-Fibonacci sequences and polynomials and their derivatives | Authors: | Falcón, Sergio Plaza, Ángel |
UNESCO Clasification: | 120504 Teoría elemental de los números | Keywords: | Numbers Spacetime Physics Topics |
Issue Date: | 2009 | Project: | Mtm2005-08441-C02-02. Particiones Triangulares y Algoritmos de Refinamiento | Journal: | Chaos, Solitons and Fractals | Abstract: | The k-Fibonacci polynomials are the natural extension of the k-Fibonacci numbers and many of their properties admit a straightforward proof. Here in particular, we present the derivatives of these polynomials in the form of convolution of k-Fibonacci polynomials. This fact allows us to present in an easy form a family of integer sequences in a new and direct way. Many relations for the derivatives of Fibonacci polynomials are proven. | URI: | http://hdl.handle.net/10553/49157 | ISSN: | 0960-0779 | DOI: | 10.1016/j.chaos.2007.03.007 | Source: | Chaos, Solitons and Fractals [ISSN 0960-0779], v. 39 (3), p. 1005-1019 |
Appears in Collections: | Artículos |
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