`numpy.polynomial.laguerre:lagder`

source: build-install/usr/lib/python3.14/site-packages/numpy/polynomial/laguerre.py :590

Signature

def lagder ( c , m = 1 , scl = 1 , axis = 0 )

Summary

Differentiate a Laguerre series.

Extended Summary

Returns the Laguerre series coefficients c differentiated m times along axis. At each iteration the result is multiplied by scl (the scaling factor is for use in a linear change of variable). The argument c is an array of coefficients from low to high degree along each axis, e.g., [1,2,3] represents the series 1*L_0 + 2*L_1 + 3*L_2 while [[1,2],[1,2]] represents 1*L_0(x)*L_0(y) + 1*L_1(x)*L_0(y) + 2*L_0(x)*L_1(y) + 2*L_1(x)*L_1(y) if axis=0 is x and axis=1 is y.

Parameters

c : array_like: Array of Laguerre series coefficients. If c is multidimensional the different axis correspond to different variables with the degree in each axis given by the corresponding index.
m : int, optional: Number of derivatives taken, must be non-negative. (Default: 1)
scl : scalar, optional: Each differentiation is multiplied by scl. The end result is multiplication by scl**m. This is for use in a linear change of variable. (Default: 1)
axis : int, optional: Axis over which the derivative is taken. (Default: 0).

Returns

der : ndarray: Laguerre series of the derivative.

Notes

In general, the result of differentiating a Laguerre series does not resemble the same operation on a power series. Thus the result of this function may be "unintuitive," albeit correct; see Examples section below.

Examples

from numpy.polynomial.laguerre import lagder

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lagder([ 1.,  1.,  1., -3.])
lagder([ 1.,  0.,  0., -4.,  3.], m=2)

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Aliases

numpy.polynomial.Laguerre._der
numpy.polynomial.laguerre.lagder