numpy.polynomial.laguerre.lagmul()

numpy.polynomial.laguerre.lagmul(c1, c2) [source]

Multiply one Laguerre series by another.

Returns the product of two Laguerre series c1 * c2. The arguments are sequences of coefficients, from lowest order ?term? to highest, e.g., [1,2,3] represents the series P_0 + 2*P_1 + 3*P_2.

Parameters:

Parameters:	c1, c2 : array_like 1-D arrays of Laguerre series coefficients ordered from low to high.
Returns:	out : ndarray Of Laguerre series coefficients representing their product.

c1, c2 : array_like

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

Returns:

out : ndarray

Of Laguerre series coefficients representing their product.

Notes

In general, the (polynomial) product of two C-series results in terms that are not in the Laguerre polynomial basis set. Thus, to express the product as a Laguerre series, it is necessary to ?reproject? the product onto said basis set, which may produce ?unintuitive? (but correct) results; see Examples section below.

Examples

>>> from numpy.polynomial.laguerre import lagmul
>>> lagmul([1, 2, 3], [0, 1, 2])
array([  8., -13.,  38., -51.,  36.])

Links:

https://docs.scipy.org/doc/numpy-1.11.0/reference/generated/numpy.polynomial.laguerre.lagmul.html

doc_NumPy

2025-01-10 15:47:30

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