numpy.polynomial.chebyshev.Chebyshev

class numpy.polynomial.chebyshev.Chebyshev(coef, domain=None, window=None)[source]

A Chebyshev series class.

The Chebyshev class provides the standard Python numerical methods ‘+’, ‘-’, ‘*’, ‘//’, ‘%’, ‘divmod’, ‘**’, and ‘()’ as well as the methods listed below.

Parameters
coefarray_like

Chebyshev coefficients in order of increasing degree, i.e., (1, 2, 3) gives 1*T_0(x) + 2*T_1(x) + 3*T_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)

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.

interpolate(func, deg[, domain, args])

Interpolate a function at the Chebyshev points of the first kind.

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.