# numpy.polynomial.legendre.Legendre.mapparms

method

polynomial.legendre.Legendre.mapparms()

  Return the mapping parameters.

  The returned values define a linear map `off + scl*x` that is applied to the input arguments before the series is evaluated. The map depends on the `domain` and `window`; if the current `domain` is equal to the `window` the resulting map is the identity. If the coefficients of the series instance are to be used by themselves outside this class, then the linear function must be substituted for the `x` in the standard representation of the base polynomials.

  Returns:
    off, scl float or complex

      The mapping function is defined by `off + scl*x`.

  Notes

  If the current domain is the interval `[l1, r1]` and the window is `[l2, r2]`, then the linear mapping function `L` is defined by the equations:

      L(l1) = l2
      L(r1) = r2