On the Integral Representations of the k-Fibonacci and k-Lucas Numbers
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 (ORCID: https://orcid.org/0000-0002-1955-1238)
- Achariya Nilsrakoo
Institutions
- Ubon Ratchathani Rajabhat University (TH)
- Ubon Ratchathani University (TH)
Publication Details
- Journal
- WSEAS TRANSACTIONS ON MATHEMATICS
- Published
- 2024-11-28
- DOI
- https://doi.org/10.37394/23206.2024.23.82
- Citations
- 1
- Primary Topic
- Advanced Mathematical Theories and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.28