# numpy.polynomial.legendre.Legendre

class numpy.polynomial.legendre.Legendre(coef, domain=None, window=None, symbol='x')

  A Legendre series class.

  The Legendre 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

      Legendre coefficients in order of increasing degree, i.e., `(1, 2, 3)` gives `1*P_0(x) + 2*P_1(x) + 3*P_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.

    symbol str, 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.
  `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.