# numpy.polynomial.laguerre.lagmulx#

polynomial.laguerre.lagmulx(c)[source]#

Multiply a Laguerre series by x.

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

Parameters:
carray_like

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

Returns:
outndarray

Array representing the result of the multiplication.

Notes

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

$xP_i(x) = (-(i + 1)*P_{i + 1}(x) + (2i + 1)P_{i}(x) - iP_{i - 1}(x))$

Examples

>>> from numpy.polynomial.laguerre import lagmulx
>>> lagmulx([1, 2, 3])
array([-1.,  -1.,  11.,  -9.])