numpy.polynomial.laguerre.lagmulx()

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:

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.

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.

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))

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

Links:

doc_NumPy

2025-01-10 15:47:30

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