Weerayuth Nilsrakoo, Achariya Nilsrakoo, "On the Integral Representations of the k-Fibonacci and k-Lucas Numbers," WSEAS Transactions on Mathematics, vol. 23, pp. 791-801, 2024, DOI:10.37394/23206.2024.23.82
Weerayuth Nilsrakoo, Achariya Nilsrakoo. On the Integral Representations of the k-Fibonacci and k-Lucas Numbers.
WSEAS Transactions on Mathematics. 2024;23:791-801. 10.37394/23206.2024.23.82
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 23, 2024
On the Integral Representations of the k-Fibonacci and k-Lucas Numbers
Authors: ,
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.
Keywords:
k-Fibonacci number, k-Lucas number, Fibonacci number, Lucas number, integral representation
Pages: 791-801 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 23, 2024, Art. #82 DOI: 10.37394/23206.2024.23.82
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