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On the Integral Representations of the k-Pell and k-Pell-Lucas Numbers: Annual Meeting in Mathematics 2024

Year: 2025
Type: article
Abstract: In this paper, the integral representations of the k-Pell and k-Pell-Lucas numbers are presented. By employing Binet's formulas for these numbers, we derive several identities and verify their integral representations using basic integral calculus. Our results are also deduced and related to the Fibonacci, Lucas, Pell, and Pell-Lucas numbers.
Language: English
Open Access status: diamond
OpenAlex ID: W7217839014
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