legmulx(c)

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

Notes

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

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

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.

Multiply a Legendre series by x.

See Also

legadd

legdiv

legmul

legpow

Examples

>>> from numpy.polynomial import legendre as L
... L.legmulx([1,2,3])
array([ 0.66666667, 2.2, 1.33333333, 1.8]) # may vary

See :

Back References

The following pages refer to to this document either explicitly or contain code examples using this.

numpy.polynomial.legendre.legsub numpy.polynomial.legendre.legadd numpy.polynomial.legendre.legpow numpy.polynomial.legendre.legdiv numpy.polynomial.legendre.legmul

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GitHub : /numpy/polynomial/legendre.py#408
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