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FUNCTION APPROXIMATIONS PACKAGE SYMBOL
EconomizedRationalApproximation
gives the economized rational approximation to expr that is good over the interval 
to 
, with numerator order m and denominator order n.
Details
- To use
, you first need to load the Function Approximations Package using Needs["FunctionApproximations`"]. 
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.
