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Abstract base class for the various polynomial Classes.

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    Parameters
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    coef : array_like
        Series coefficients in order of increasing degree, i.e.,
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    domain : (2,) array_like, optional
        Domain to use. The interval ``[domain[0], domain[1]]`` is mapped
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    window : (2,) array_like, optional
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        Series coefficients in order of increasing degree.
    domain : (2,) ndarray
        Domain that is mapped to window.
    window : (2,) ndarray
        Window that domain is mapped to.

    Class Attributes
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    maxpower : int
        Maximum power allowed, i.e., the largest number ``n`` such that
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    domain : (2,) ndarray
        Default domain of the class.
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Check if domains match.

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Check if windows match.

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        Parameters
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        n : int, optional
            Number of point pairs to return. The default value is 100.
        domain : {None, array_like}, optional
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            The default is None which case the class domain is used.

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        Return a series instance that is the least squares fit to the data
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        Parameters
        ----------
        x : array_like, shape (M,)
            x-coordinates of the M sample points ``(x[i], y[i])``.
        y : array_like, shape (M,) or (M, K)
            y-coordinates of the sample points. Several data sets of sample
            points sharing the same x-coordinates can be fitted at once by
            passing in a 2D-array that contains one dataset per column.
        deg : int or 1-D array_like
            Degree(s) of the fitting polynomials. If `deg` is a single integer
            all terms up to and including the `deg`'th term are included in the
            fit. For Numpy versions >= 1.11 a list of integers specifying the
            degrees of the terms to include may be used instead.
        domain : {None, [beg, end], []}, optional
            Domain to use for the returned series. If ``None``,
            then a minimal domain that covers the points `x` is chosen.  If
            ``[]`` the class domain is used. The default value was the
            class domain in NumPy 1.4 and ``None`` in later versions.
            The ``[]`` option was added in numpy 1.5.0.
        rcond : float, optional
            Relative condition number of the fit. Singular values smaller
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            ignored. The default value is len(x)*eps, where eps is the
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        full : bool, optional
            Switch determining nature of return value. When it is False
            (the default) just the coefficients are returned, when True
            diagnostic information from the singular value decomposition is
            also returned.
        w : array_like, shape (M,), optional
            Weights. If not None the contribution of each point
            ``(x[i],y[i])`` to the fit is weighted by `w[i]`. Ideally the
            weights are chosen so that the errors of the products
            ``w[i]*y[i]`` all have the same variance.  The default value is
            None.

            .. versionadded:: 1.5.0
        window : {[beg, end]}, optional
            Window to use for the returned series. The default
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            .. versionadded:: 1.6.0

        Returns
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        new_series : series
            A series that represents the least squares fit to the data and
            has the domain specified in the call.

        [resid, rank, sv, rcond] : list
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            resid -- sum of squared residuals of the least squares fit
            rank -- the numerical rank of the scaled Vandermonde matrix
            sv -- singular values of the scaled Vandermonde matrix
            rcond -- value of `rcond`.

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        Parameters
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            List of roots.
        domain : {[], None, array_like}, optional
            Domain for the resulting series. If None the domain is the
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        window : {None, array_like}, optional
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        If ``p`` is the returned series, then ``p(x) == x`` for all
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            ``beg`` and ``end`` are the endpoints of the domain. If None is
            given then the class domain is used. The default is None.
        window : {None, array_like}, optional
            If given, the resulting array must be if the form
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            Degree of the basis polynomial for the series. Must be >= 0.
        domain : {None, array_like}, optional
            If given, the array must be of the form ``[beg, end]``, where
            ``beg`` and ``end`` are the endpoints of the domain. If None is
            given then the class domain is used. The default is None.
        window : {None, array_like}, optional
            If given, the resulting array must be if the form
            ``[beg, end]``, where ``beg`` and ``end`` are the endpoints of
            the window. If None is given then the class window is used. The
            default is None.

        Returns
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            all others zero.

        is deg must be non-negative integeri
N(R+R
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        Parameters
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        series : series
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        domain : {None, array_like}, optional
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            ``beg`` and ``end`` are the endpoints of the domain. If None is
            given then the class domain is used. The default is None.
        window : {None, array_like}, optional
            If given, the resulting array must be if the form
            ``[beg, end]``, where ``beg`` and ``end`` are the endpoints of
            the window. If None is given then the class window is used. The
            default is None.

        Returns
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        See Also
        --------
        convert : similar instance method

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