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numpy.polynomial.legendre.leggauss

numpy.polynomial.legendre.legpow

numpy.polynomial.legendre.legpow(c, pow, maxpower=16)[source]

Raise a Legendre series to a power.

Returns the Legendre 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
carray_like

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

powinteger

Power to which the series will be raised

maxpowerinteger, optional

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

Returns
coefndarray

Legendre series of power.