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numpy.polynomial.laguerre.lagmul

This is documentation for an old release of NumPy (version 1.19). Read this page in the documentation of the latest stable release (version 2.2).

numpy.polynomial.laguerre.lagmulx

numpy.polynomial.laguerre.lagmulx(c)[source]

Multiply a Laguerre series by x.

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

Parameters
carray_like

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

Returns
outndarray

Array representing the result of the multiplication.

Notes

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

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

Examples

>>>
>>> from numpy.polynomial.laguerre import lagmulx
>>> lagmulx([1, 2, 3])
array([-1.,  -1.,  11.,  -9.])