GeneralRationalInterpolation

GeneralRationalInterpolation[{fx,fy},{t,m,n},x,{t1,,tm+n+1}]]
gives the rational polynomial function of x, with numerator order m and denominator order n, that interpolates the curve with x and y coordinates fx and fy generated as a function of t, at the interpolation points t1, t2, .

GeneralRationalInterpolation[{fx,fy},{t,m,n},x,{t,t0,t1}]
gives the rational interpolant with the interpolation points chosen automatically from the interval t0 to t1.

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