# numpy.polynomial.hermite.hermfromroots¶

numpy.polynomial.hermite.hermfromroots(roots)[source]

Generate a Hermite series with given roots.

The function returns the coefficients of the polynomial in Hermite 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 Hermite form.

Parameters: roots : array_like Sequence containing the roots. 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).

polyfromroots, legfromroots, lagfromroots, chebfromroots, hermefromroots.

Examples

```>>> from numpy.polynomial.hermite import hermfromroots, hermval
>>> coef = hermfromroots((-1, 0, 1))
>>> hermval((-1, 0, 1), coef)
array([ 0.,  0.,  0.])
>>> coef = hermfromroots((-1j, 1j))
>>> hermval((-1j, 1j), coef)
array([ 0.+0.j,  0.+0.j])
```

#### Previous topic

numpy.polynomial.hermite.hermroots

#### Next topic

numpy.polynomial.hermite.hermfit