numpy.polynomial.laguerre.lagfromroots(roots)
[source]
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: |
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Returns: |
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See also
polyfromroots
, legfromroots
, chebfromroots
, hermfromroots
, hermefromroots
>>> 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])
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https://docs.scipy.org/doc/numpy-1.17.0/reference/generated/numpy.polynomial.laguerre.lagfromroots.html