numpy.polynomial.legendre.Legendre

class numpy.polynomial.legendre.Legendre(coef, domain=None, window=None) [source]

A Legendre series class.

The Legendre class provides the standard Python numerical methods ‘+’, ‘-‘, ‘*’, ‘//’, ‘%’, ‘divmod’, ‘**’, and ‘()’ as well as the attributes and methods listed in the ABCPolyBase documentation.

Parameters

coefarray_like

Legendre coefficients in order of increasing degree, i.e., (1, 2, 3) gives 1*P_0(x) + 2*P_1(x) + 3*P_2(x).

domain(2,) array_like, optional

Domain to use. The interval [domain[0], domain[1]] is mapped to the interval [window[0], window[1]] by shifting and scaling. The default value is [-1, 1].

window(2,) array_like, optional

Window, see domain for its use. The default value is [-1, 1].

New in version 1.6.0.

Methods

__call__(self, arg)	Call self as a function.
basis(deg[, domain, window])	Series basis polynomial of degree deg.
cast(series[, domain, window])	Convert series to series of this class.
convert(self[, domain, kind, window])	Convert series to a different kind and/or domain and/or window.
copy(self)	Return a copy.
cutdeg(self, deg)	Truncate series to the given degree.
degree(self)	The degree of the series.
deriv(self[, m])	Differentiate.
fit(x, y, deg[, domain, rcond, full, w, window])	Least squares fit to data.
fromroots(roots[, domain, window])	Return series instance that has the specified roots.
has_samecoef(self, other)	Check if coefficients match.
has_samedomain(self, other)	Check if domains match.
has_sametype(self, other)	Check if types match.
has_samewindow(self, other)	Check if windows match.
identity([domain, window])	Identity function.
integ(self[, m, k, lbnd])	Integrate.
linspace(self[, n, domain])	Return x, y values at equally spaced points in domain.
mapparms(self)	Return the mapping parameters.
roots(self)	Return the roots of the series polynomial.
trim(self[, tol])	Remove trailing coefficients
truncate(self, size)	Truncate series to length size.