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# numpy.polynomial.laguerre.lagfromroots

`numpy.polynomial.laguerre.``lagfromroots`(roots)

  Generate a Laguerre series with given roots.

  The function returns the coefficients of the polynomial

  in Laguerre form, where the r_n are the roots specified in roots. If a zero has multiplicity n, then it must appear in roots n times. For instance, if 2 is a root of multiplicity three and 3 is a root of multiplicity 2, then roots looks something like [2, 2, 2, 3, 3]. The roots can appear in any order.

  If the returned coefficients are c, then

  The coefficient of the last term is not generally 1 for monic polynomials in Laguerre form.

  Parameters: | roots : array_like Sequence containing the roots.
  Returns: | out : ndarray 1-D array of coefficients. If all roots are real then out is a real array, if some of the roots are complex, then out is complex even if all the coefficients in the result are real (see Examples below).

  See also

  `polyfromroots`, `legfromroots`, `chebfromroots`, `hermfromroots`, `hermefromroots.`

  Examples

      >>> from numpy.polynomial.laguerre import lagfromroots, lagval
      >>> coef = lagfromroots((-1, 0, 1))
      >>> lagval((-1, 0, 1), coef)
      array([ 0.,  0.,  0.])
      >>> coef = lagfromroots((-1j, 1j))
      >>> lagval((-1j, 1j), coef)
      array([ 0.+0.j,  0.+0.j])