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# scipy.misc.pade

`scipy.misc.``pade`(an, m)

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

  Parameters: | an : (N,) array_like Taylor series coefficients. m : int The order of the returned approximating polynomials.
  Returns: | p, q : Polynomial class The Pade approximation of the polynomial defined by an is `p(x)/q(x)`.

  Examples

      >>> 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)

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

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

      >>> e_poly(1)
      2.7166666666666668

      >>> p(1)/q(1)
      2.7179487179487181