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numpy.polynomial.laguerre.Laguerre.__call__

# numpy.polynomial.laguerre.Laguerre¶

class `numpy.polynomial.laguerre.``Laguerre`(coef, domain=None, window=None)[source]

A Laguerre series class.

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

Parameters
coefarray_like

Laguerre coefficients in order of increasing degree, i.e, `(1, 2, 3)` gives `1*L_0(x) + 2*L_1(X) + 3*L_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 [0, 1].

window(2,) array_like, optional

Window, see `domain` for its use. The default value is [0, 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.