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

Achariya Nilsrakoo; Weerayuth Nilsrakoo

On the Integral Representations of the k-Pell and k-Pell-Lucas Numbers

Annual Meeting in Mathematics 2024

Authors

Achariya Nilsrakoo
Weerayuth Nilsrakoo Ubon Ratchathani University

Keywords:

k-Pell number, k-Pell-Lucas number, integral representation

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.

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Published

2025-03-31

How to Cite

Nilsrakoo, A., & Nilsrakoo, W. (2025). On the Integral Representations of the k-Pell and k-Pell-Lucas Numbers: Annual Meeting in Mathematics 2024. Thai Journal of Mathematics, 23(1), 9–19. Retrieved from https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/1761