chebder(c, m=1, scl=1, axis=0)
Returns the Chebyshev series coefficients c differentiated m times along :None:None:`axis`. At each iteration the result is multiplied by :None:None:`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*T_0 + 2*T_1 + 3*T_2
while [[1,2],[1,2]] represents 1*T_0(x)*T_0(y) + 1*T_1(x)*T_0(y) +
2*T_0(x)*T_1(y) + 2*T_1(x)*T_1(y)
if axis=0 is x
and axis=1 is y
.
In general, the result of differentiating a C-series needs to be "reprojected" onto the C-series basis set. Thus, typically, the result of this function is "unintuitive," albeit correct; see Examples section below.
Array of Chebyshev series coefficients. If c is multidimensional the different axis correspond to different variables with the degree in each axis given by the corresponding index.
Number of derivatives taken, must be non-negative. (Default: 1)
Each differentiation is multiplied by :None:None:`scl`. The end result is multiplication by scl**m
. This is for use in a linear change of variable. (Default: 1)
Axis over which the derivative is taken. (Default: 0).
Chebyshev series of the derivative.
Differentiate a Chebyshev series.
>>> from numpy.polynomial import chebyshev as C
... c = (1,2,3,4)
... C.chebder(c) array([14., 12., 24.])
>>> C.chebder(c,3) array([96.])
>>> C.chebder(c,scl=-1) array([-14., -12., -24.])
>>> C.chebder(c,2,-1) array([12., 96.])See :
The following pages refer to to this document either explicitly or contain code examples using this.
numpy.polynomial.chebyshev.chebint
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