Unifying some Pell and Fibonacci identities

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摘要

In this short note we provide a unified approach to recent proofs for some identities on Fibonacci and Pell numbers. We use Chebyshev polynomials of second kind and a basic complex analysis result.

论文关键词：Pell numbers,Fibonacci numbers,Chebyshev polynomials of second kind,Tridiagonal matrices

论文评审过程：Available online 3 April 2014.

论文官网地址：https://doi.org/10.1016/j.amc.2014.03.064