Abstract
Binomial sums with Pell and Lucas polynomials as weight functions are explicitly evaluated. Their special cases result in several interesting identities concerning Fibonacci and Lucas numbers. Two of them confirm the summation formulae proposed recently by Ohtsuka and Tauraso (2020).
Citation
Dongwei Guo. Wenchang Chu. "Binomial Sums with Pell and Lucas Polynomials." Bull. Belg. Math. Soc. Simon Stevin 28 (1) 133 - 145, may 2021. https://doi.org/10.36045/j.bbms.200525
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