numpy.polynomial.chebyshev.chebpow

polynomial.chebyshev. chebpow ( c, pow, maxpower=16 ) [source]

Raise a Chebyshev series to a power.

Returns the Chebyshev series c raised to the power 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.

See also

chebadd, chebsub, chebmulx, chebmul, chebdiv

Examples

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