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BUILT-IN MATHEMATICA SYMBOL
PadeApproximant
PadeApproximant[expr, {x, x0, {m, n}}]
gives the Padé approximant to expr about the point 
, with numerator order m and denominator order n.
PadeApproximant[expr, {x, x0, n}]
gives the diagonal Padé approximant to expr about the point 
of order n.
Details
- Mathematica can find the Padé approximant about the point
only when it can evaluate power series at that point. - PadeApproximant produces a ratio of ordinary polynomial expressions, not a special SeriesData object.
Examplesopen all
Basic Examples (2)
Order [2/3] Padé approximant for Exp[x]:
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PadeApproximant can handle functions with poles:
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New in 6
