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# 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: coef : array_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__(arg) basis(deg[, domain, window]) Series basis polynomial of degree deg. cast(series[, domain, window]) Convert series to series of this class. convert([domain, kind, window]) Convert series to a different kind and/or domain and/or window. copy() Return a copy. cutdeg(deg) Truncate series to the given degree. degree() The degree of the series. deriv([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(other) Check if coefficients match. has_samedomain(other) Check if domains match. has_sametype(other) Check if types match. has_samewindow(other) Check if windows match. identity([domain, window]) Identity function. integ([m, k, lbnd]) Integrate. linspace([n, domain]) Return x, y values at equally spaced points in domain. mapparms() Return the mapping parameters. roots() Return the roots of the series polynomial. trim([tol]) Remove trailing coefficients Remove trailing coefficients until a coefficient is reached whose absolute value greater than tol or the beginning of the series is reached. truncate(size) Truncate series to length size.