orthax.laguerre.lagpow

orthax.laguerre.lagpow(c, pow, maxpower=16)Source

Raise a Laguerre series to a power.

Returns the Laguerre 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 Laguerre 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) – Laguerre series of power.

Examples

>>> from orthax.laguerre import lagpow
>>> lagpow([1, 2, 3], 2)
array([ 14., -16.,  56., -72.,  54.])