numpy.polynomial.laguerre.lagmulx — NumPy v1.13 Manual (original) (raw)
numpy.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: | c : array_like 1-D array of Laguerre series coefficients ordered from low to high. |
|---|---|
| Returns: | out : ndarray 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.])