numpy.polynomial.legendre.
legmulx
Multiply a Legendre series by x.
Multiply the Legendre series c by x, where x is the independent variable.
1-D array of Legendre series coefficients ordered from low to high.
Array representing the result of the multiplication.
See also
legadd, legmul, legmul, legdiv, legpow
legadd
legmul
legdiv
legpow
Notes
The multiplication uses the recursion relationship for Legendre polynomials in the form
System Message: WARNING/2 (xP_i(x) = ((i + 1)*P_{i + 1}(x) + i*P_{i - 1}(x))/(2i + 1))
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Examples
>>> from numpy.polynomial import legendre as L >>> L.legmulx([1,2,3]) array([ 0.66666667, 2.2, 1.33333333, 1.8]) # may vary