The k-Fibonacci hyperbolic functions

Sergio Falcón and Ángel Plaza

Chaos, Solitons & Fractals, 2008, vol. 38, issue 2, 409-420

Abstract: 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 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.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:38:y:2008:i:2:p:409-420

DOI: 10.1016/j.chaos.2006.11.019

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