This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.
 BUILT-IN MATHEMATICA SYMBOL

• Mathematica can find the Padé approximant about the point only when it can evaluate power series at that point.
Order [2/3] Padé approximant for Exp[x]:
PadeApproximant can handle functions with poles:
Order [2/3] Padé approximant for Exp[x]:
 Out[1]=

PadeApproximant can handle functions with poles:
 Out[1]=
 Scope   (4)
Padé approximant of an arbitrary function:
Padé approximant with a complex-valued expansion point:
Padé approximant with an expansion point at infinity:
Find a Padé approximant to a given series:
Padé approximant centered at the point :
Padé approximant of a function containing logarithmic terms:
 Applications   (2)
Plot successive Padé approximants to :
Construct discrete orthogonal polynomials with respect to discrete weighted measure:
The Padé approximant agrees with the ordinary series for terms:
For PadeApproximant gives an ordinary series:
Padé approximants often have spurious poles not present in the original function:
Padé approximants of a given order may not exist:
Perturbing the order slightly is usually sufficient to produce an approximant:
New in 6