SciPy

numpy.polynomial.legendre.leg2poly

numpy.polynomial.legendre.leg2poly(c)[source]

Convert a Legendre series to a polynomial.

Convert an array representing the coefficients of a Legendre series, ordered from lowest degree to highest, to an array of the coefficients of the equivalent polynomial (relative to the “standard” basis) ordered from lowest to highest degree.

Parameters:

c : array_like

1-D array containing the Legendre series coefficients, ordered from lowest order term to highest.

Returns:

pol : ndarray

1-D array containing the coefficients of the equivalent polynomial (relative to the “standard” basis) ordered from lowest order term to highest.

See also

poly2leg

Notes

The easy way to do conversions between polynomial basis sets is to use the convert method of a class instance.

Examples

>>> c = P.Legendre(range(4))
>>> c
Legendre([ 0.,  1.,  2.,  3.], [-1.,  1.])
>>> p = c.convert(kind=P.Polynomial)
>>> p
Polynomial([-1. , -3.5,  3. ,  7.5], [-1.,  1.])
>>> P.leg2poly(range(4))
array([-1. , -3.5,  3. ,  7.5])