The k-Fibonacci hyperbolic functions
Copyright policy )The k-Fibonacci hyperbolic functions
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.
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120504 Teoría elemental de los números, Fibonacci and Lucas numbers and polynomials and generalizations, k-Lucas numbers, Lucas numbers, Hyperbolic functions, Exponential and trigonometric functions
120504 Teoría elemental de los números, Fibonacci and Lucas numbers and polynomials and generalizations, k-Lucas numbers, Lucas numbers, Hyperbolic functions, Exponential and trigonometric functions
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