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chebpow(c, pow, maxpower=16)

Returns the Chebyshev series c raised to the power :None:None:`pow`. The argument c is a sequence of coefficients ordered from low to high. i.e., [1,2,3] is the series T_0 + 2*T_1 + 3*T_2.

Parameters

c : array_like

1-D array of Chebyshev series coefficients ordered from low to high.

pow : integer

Power to which the series will be raised

maxpower : integer, optional

Maximum power allowed. This is mainly to limit growth of the series to unmanageable size. Default is 16

Returns

coef : ndarray

Chebyshev series of power.

Raise a Chebyshev series to a power.

See Also

chebadd
chebdiv
chebmul
chebmulx
chebsub

Examples

>>> from numpy.polynomial import chebyshev as C
... C.chebpow([1, 2, 3, 4], 2) array([15.5, 22. , 16. , ..., 12.5, 12. , 8. ])
See :

Back References

The following pages refer to to this document either explicitly or contain code examples using this.

numpy.polynomial.chebyshev.chebdiv numpy.polynomial.chebyshev.chebsub numpy.polynomial.chebyshev.chebadd numpy.polynomial.chebyshev.chebmul

Local connectivity graph

Hover to see nodes names; edges to Self not shown, Caped at 50 nodes.

Using a canvas is more power efficient and can get hundred of nodes ; but does not allow hyperlinks; , arrows or text (beyond on hover)

SVG is more flexible but power hungry; and does not scale well to 50 + nodes.

All aboves nodes referred to, (or are referred from) current nodes; Edges from Self to other have been omitted (or all nodes would be connected to the central node "self" which is not useful). Nodes are colored by the library they belong to, and scaled with the number of references pointing them


GitHub : /numpy/polynomial/chebyshev.py#817
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