`numpy.polynomial.laguerre:lagdiv`

source: /numpy/polynomial/laguerre.py :507

Signature

def lagdiv ( c1 , c2 )

Summary

Divide one Laguerre series by another.

Extended Summary

Returns the quotient-with-remainder 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

c1, c2 : array_like: 1-D arrays of Laguerre series coefficients ordered from low to high.

Returns

[quo, rem] : ndarrays: Of Laguerre series coefficients representing the quotient and remainder.

Notes

In general, the (polynomial) division of one Laguerre series by another results in quotient and remainder terms that are not in the Laguerre polynomial basis set. Thus, to express these results as a Laguerre series, it is necessary to "reproject" the results onto the Laguerre basis set, which may produce "unintuitive" (but correct) results; see Examples section below.

Examples

from numpy.polynomial.laguerre import lagdiv
lagdiv([  8., -13.,  38., -51.,  36.], [0, 1, 2])
lagdiv([  9., -12.,  38., -51.,  36.], [0, 1, 2])

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Aliases

numpy.polynomial.Laguerre._div
numpy.polynomial.laguerre.lagdiv