numpy.polynomial.chebyshev.Chebyshev#

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

A Chebyshev series class.

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

symbolstr, optional

Symbol used to represent the independent variable in string representations of the polynomial expression, e.g. for printing. The symbol must be a valid Python identifier. Default value is ‘x’.

New in version 1.24.

Attributes:
symbol

Methods

 __call__(arg) Call self as a function. basis(deg[, domain, window, symbol]) 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, ...]) Least squares fit to data. fromroots(roots[, domain, window, symbol]) 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, symbol]) 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.