scipy.special.legendre_p_all

scipy.special.legendre_p_all(n, z, *, diff_n=0) = <scipy.special._multiufuncs.MultiUFunc object>

All Legendre polynomials of the first kind up to the specified degree n and all derivatives up to order diff_n.

Parameters:

nint

Degree of the Legendre polynomials. Must have n >= 0.

zarray_like

Input value.

diff_nint, optional

A non-negative integer. Compute and return all derivatives up to order diff_n. Default is 0.

Returns:

ndarray

Output shape is (diff_n + 1, n + 1, ...). The entry at (i, j) corresponds to the i-th derivative and degree j for all 0 <= i <= diff_n and 0 <= j <= n.

See also

legendre_p