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RationalInterpolation

RationalInterpolation[expr, {x, m, n}, {x1, x2, ..., xn+m+1}]
gives the rational interpolant to expr with numerator order m and denominator order n, where x1, x2, ... are the abscissas of the interpolation points.
RationalInterpolation[expr, {x, m, n}, {x, x0, x1}]
gives the rational interpolant with the interpolation points chosen automatically on the interval x0 to x1.
  • The following options can be given:
WorkingPrecisionMachinePrecisionprecision to use in internal computations
Bias0bias in the automatic choice of interpolation points