This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.
View current documentation (Version 11.1)


gives the economized rational approximation to expr that is good over the interval to , with numerator order m and denominator order n.
  • finds the Padé approximant about the midpoint of the interval to , and then perturbs the approximant with Chebyshev polynomials to reduce the leading coefficient in the error.
  • Mathematica can find the economized rational approximant over the interval to only when it can evaluate power series at the midpoint of the interval.
  • produces a ratio of ordinary polynomial expressions, not a special SeriesData object.