orthax.chebyshev.chebpow

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