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| Título: | The k-Fibonacci hyperbolic functions | Autores/as: | Falcón, Sergio Plaza, Ángel |
Clasificación UNESCO: | 120504 Teoría elemental de los números | Palabras clave: | Hyperbolic functions Lucas numbers k-Lucas numbers |
Fecha de publicación: | 2008 | Proyectos: | Mtm2005-08441-C02-02. Particiones Triangulares y Algoritmos de Refinamiento | Publicación seriada: | Chaos, Solitons and Fractals | Resumen: | An extension of the classical hyperbolic functions is introduced and studied. These new k-Fibonacci hyperbolic functions generalize also the k-Fibonacci sequences, say {Fk, n}n = 0∞, recently found by studying the recursive application of two geometrical transformations onto over(C, -) = C ∪ {+ ∞} used in the well-known four-triangle longest-edge (4TLE) partition. In this paper, several properties of these k-Fibonacci hyperbolic functions are studied in an easy way. We finalize with the introduction of some curves and surfaces naturally related with the k-Fibonacci hyperbolic functions. | URI: | http://hdl.handle.net/10553/49161 | ISSN: | 0960-0779 | DOI: | 10.1016/j.chaos.2006.11.019 | Fuente: | Chaos, Solitons and Fractals [ISSN 0960-0779], v. 38 (2), p. 409-420 |
| Colección: | Artículos |
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