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numpy.polynomial.legendre.legpow

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
c array_like

1-D array of Legendre 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

Legendre series of power.

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https://numpy.org/doc/1.22/reference/generated/numpy.polynomial.legendre.legpow.html