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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: coef : array_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, domain]` is mapped to the interval `[window, window]` 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__`(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`([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 `truncate`(size) Truncate series to length size.