gfun[ratpolytocoeff] - computes the nth coefficient of a rational function
Calling Sequence
ratpolytocoeff(f, x, n)
Parameters
f - rational function in x
x,n - names
Description
- The procedure
ratpolytocoeffcomputes the expression for then-th coefficient of the Taylor expansion about the origin offas a function ofx.
Examples
> with(gfun):
ratpolytocoeff(1/(1-x-x^2),x,n);\[\munderset{\underline{\hspace{1.25 ex}}\alpha =\textrm{RootOf}\left(\_Z^{2}+\_Z -1\right)}{\textcolor{gray}{\sum}}\! \left(-\frac{\left(-\frac{2 \underline{\hspace{1.25 ex}}\alpha }{5}-\frac{1}{5}\right) \underline{\hspace{1.25 ex}}\alpha^{-n}}{\underline{\hspace{1.25 ex}}\alpha}\right)\]