On the Integral Representations of the k-Fibonacci and k-Lucas Numbers
Year: 2024
Type: article
Abstract: In this paper, we propose the integral representations of the k-Fibonacci and k-Lucas numbers. We use the Binet’s formulas to establish some identities and use simple integral calculus to prove them. Our results are also deduced with the Fibonacci, Lucas, Pell, and Pell-Lucas numbers.
Authors: Weerayuth Nilsrakoo, Achariya Nilsrakoo
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4404820203