Year: 2024
Type: article
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.
Author: Sergio Falcón
Institution: Universidad de Las Palmas de Gran Canaria
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4406552277