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numpy.polynomial.legendre.legmulx()

numpy.polynomial.legendre.legmulx(c) [source]

Multiply a Legendre series by x.

Multiply the Legendre series c by x, where x is the independent variable.

Parameters:

c : array_like

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

Returns:

out : ndarray

Array representing the result of the multiplication.

Notes

The multiplication uses the recursion relationship for Legendre polynomials in the form

$xP_i(x) = ((i + 1)*P_{i + 1}(x) + i*P_{i - 1}(x))/(2i + 1)$

Links:

https://docs.scipy.org/doc/numpy-1.11.0/reference/generated/numpy.polynomial.legendre.legmulx.html

doc_NumPy

2025-01-10 15:47:30

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