orthax.hermite_e.hermepow

orthax.hermite_e.hermepow(c, pow, maxpower=16)Source

Raise a Hermite series to a power.

Returns the Hermite 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 P_0 + 2*P_1 + 3*P_2.

Parameters:
  • c (array_like) – 1-D array of Hermite 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) – Hermite series of power.

Examples

>>> from orthax.hermite_e import hermepow
>>> hermepow([1, 2, 3], 2)
array([23.,  28.,  46.,  12.,   9.])