Difference between revisions of "Fibonacci polynomial"
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(Created page with "Fibonacci polynomials are defined by $$F_n(x)=\left\{ \begin{array}{ll} 0&; n=0 \\ 1&; n=1 \\ xF_{n-1}(x)+F_{n-2}(x)&; n\geq 2. \end{array} \right.$$") |
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xF_{n-1}(x)+F_{n-2}(x)&; n\geq 2. | xF_{n-1}(x)+F_{n-2}(x)&; n\geq 2. | ||
\end{array} \right.$$ | \end{array} \right.$$ | ||
| + | Note the similarity with the [[Lucas polynomial|Lucas polynomials]]. | ||
Revision as of 13:50, 1 November 2014
Fibonacci polynomials are defined by $$F_n(x)=\left\{ \begin{array}{ll} 0&; n=0 \\ 1&; n=1 \\ xF_{n-1}(x)+F_{n-2}(x)&; n\geq 2. \end{array} \right.$$ Note the similarity with the Lucas polynomials.
