PadeApproximant

PadeApproximant[expr,{x,x0,{m,n}}]

gives the Padé approximant to expr about the point x=x0, with numerator order m and denominator order n.

PadeApproximant[expr,{x,x0,n}]

gives the diagonal Padé approximant to expr about the point x=x0 of order n.

Details

  • The Wolfram Language can find the Padé approximant about the point x=x0 only when it can evaluate power series at that point.
  • PadeApproximant produces a ratio of ordinary polynomial expressions, not a special SeriesData object.

Examples

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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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Scope  (4)

Generalizations & Extensions  (3)

Applications  (2)

Properties & Relations  (2)

Possible Issues  (2)

See Also

Series  Rationalize

Tutorials

Introduced in 2007
(6.0)