Padé Approximant/Examples

Examples of Padé Approximants

Exponential

Let $f: \R \to \R$ denote the real function $f: x \mapsto e^x$.

A Padé approximant to $f$ with numerator and denominator of degree $2$ is:

$\dfrac {x^2 + 6 x + 12} {x^2 - 6 x + 12}$