On the Bihyperbolic k-Fibonacci Numbers

Authors

DOI:

https://doi.org/10.26713/cma.v15i2.2592

Keywords:

k-Fibonacci numbers, Hiperbolic and bihyperbolic numbers, Convolution, Binet, Catalan and d’Ocagne identities, Generating function

Abstract

In this paper, we extend the concept of bihyperbolic numbers to the k-Fibonacci numbers. We will find the main formulas that affect these numbers, such as the recurrence formulas and the sum of the first n terms, as well as the identities of Binet, Catalan and d’Ocagne. We finish the study by finding the generating function of the bihyperbolic k-Fibonacci numbers.

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References

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Published

14-11-2024
CITATION

How to Cite

Falcón, S. (2024). On the Bihyperbolic k-Fibonacci Numbers. Communications in Mathematics and Applications, 15(2), 525–532. https://doi.org/10.26713/cma.v15i2.2592

Issue

Vol. 15 No. 2 (2024)

Section

Research Article

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