`scipy.interpolate._pade:pade`

Signature

def pade ( an , m , n = None )

Return Pade approximation to a polynomial as the ratio of two polynomials.

an : (N,) array_like: Taylor series coefficients.
m : int: The order of the returned approximating polynomial q.
n : int, optional: The order of the returned approximating polynomial p. By default, the order is len(an)-1-m.

p, q : Polynomial class: The Pade approximation of the polynomial defined by an is p(x)/q(x).

import numpy as np
from scipy.interpolate import pade
e_exp = [1.0, 1.0, 1.0/2.0, 1.0/6.0, 1.0/24.0, 1.0/120.0]
p, q = pade(e_exp, 2)

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e_exp.reverse()
e_poly = np.poly1d(e_exp)

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Compare ``e_poly(x)`` and the Pade approximation ``p(x)/q(x)``

e_poly(1)

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p(1)/q(1)

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