Previous topic

numpy.polynomial.legendre.legmul

Next topic

numpy.polynomial.legendre.legdiv

This is documentation for an old release of NumPy (version 1.15). Read this page in the documentation of the latest stable release (version 2.2).

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)