# 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: coef : array_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__`(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. `interpolate`(func, deg[, domain, args]) Interpolate a function at the Chebyshev points of the first kind. `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.

#### Previous topic

Chebyshev Module (`numpy.polynomial.chebyshev`)

#### Next topic

numpy.polynomial.chebyshev.Chebyshev.__call__