scipy.special.legendre_p

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

Legendre polynomial of the first kind.

Parameters:

nArrayLike[int]

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

zArrayLike[float]

Input value.

diff_nOptional[int]

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

Returns:

pndarray or tuple[ndarray]

Legendre polynomial with diff_n derivatives.

See also

legendre

References

[1]

Zhang, Shanjie and Jin, Jianming. “Computation of Special Functions”, John Wiley and Sons, 1996. https://people.sc.fsu.edu/~jburkardt/f77_src/special_functions/special_functions.html