On the bihyperbolic k-Fibonacci numbers

Authors

  • Sergio Falcón Department of Mathematics, University of Las Palmas de Gran Canaria, 35017 – Las, Palmas de Gran Canaria

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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https://en.wikipedia.org/wiki/Split-complex_number

Published

14-11-2024

How to Cite

Falcón, S. (2024). On the bihyperbolic k-Fibonacci numbers. Communications in Mathematics and Applications, 15(2), 525–532. Retrieved from https://rgnpublications.com/journals/index.php/cma/article/view/2592

Issue

Vol. 15 No. 2 (2024)

Section

Research Article

License

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