Fibonacci Convolution Sequences
نویسنده
چکیده
(1-2) F<„'> £ FWFi , 1=0 However, there are some easier methods of calculation. Let the Fibonacci polynomials Fn(x) be defined by (1.3) Fn+2(x) = xFn+1(x) + Fn(x), Fo(x)~0, F7(x) = 1 . Then, since Fn(1)= Fn, the recursion relation for the Fibonacci numbers, Fn+2= Fn+i + Fn, follows immediately by taking x = I In a similar manner we may write recursion relations for {Fff^} . From (1.3), taking the first derivative we have
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