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.])