# numpy.polynomial.legendre.legmulx

polynomial.legendre.legmulx(c)

  Multiply a Legendre series by x.

  Multiply the Legendre series c by x, where x is the independent variable.

  Parameters:
    c array_like

      1-D array of Legendre series coefficients ordered from low to high.

  Returns:
    out ndarray

      Array representing the result of the multiplication.

  See also

  `legadd`, `legmul`, `legdiv`, `legpow`

  Notes

  The multiplication uses the recursion relationship for Legendre polynomials in the form

  \[xP_i(x) = ((i + 1)*P_{i + 1}(x) + i*P_{i - 1}(x))/(2i + 1)\]

  Examples

      >>> from numpy.polynomial import legendre as L
      >>> L.legmulx([1,2,3])
      array([ 0.66666667, 2.2, 1.33333333, 1.8]) # may vary