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.])