Liu, Yanjun; Li, Jinlong Fibonacci numbers and Legendre polynomials. (Chinese. English summary) Zbl 1009.11013 Pure Appl. Math. 17, No. 2, 180-183 (2001). Let \(U_n(x)\) be the second type of Chebyshev polynomials with generation function \[ \sum_{n=0}^\infty U_n(x)t^n= \frac{1} {1-2xt+t^2}, \] and let \(P_n(x)\) be the Legendre polynomials with generating function \[ \sum_{n=0}^\infty P_n(x)t^n= \frac{1} {\sqrt{1-2xt+t^2}}. \] First the authors give a formula about the two kinds of polynomials and then establish several relations between the values of the Legendre polynomials. Reviewer: Luo Ming (Chongqing) MSC: 11B39 Fibonacci and Lucas numbers and polynomials and generalizations Keywords:Fibonacci numbers; Chebyshev polynomials; Legendre polynomials PDFBibTeX XMLCite \textit{Y. Liu} and \textit{J. Li}, Pure Appl. Math. 17, No. 2, 180--183 (2001; Zbl 1009.11013)