This is documentation for an old release of SciPy (version 0.7.). Read this page Search for this page in the documentation of the latest stable release (version 1.15.1).

scipy.special.lpmn

scipy.special.lpmn(m, n, z)

Associated Legendre functions of the first kind, Pmn(z) and its derivative, Pmn’(z) of order m and degree n. Returns two arrays of size (m+1,n+1) containing Pmn(z) and Pmn’(z) for all orders from 0..m and degrees from 0..n.

z can be complex.