`scipy.special._basic:lqmn`

source: /scipy/special/_basic.py :1701

Signature

def lqmn ( m , n , z )

Summary

Sequence of associated Legendre functions of the second kind.

Extended Summary

Computes the associated Legendre function of the second kind of order m and degree n, Qmn(z) = $Q_{n}^{m} (z)$ , and its derivative, Qmn'(z). Returns two arrays of size (m+1, n+1) containing Qmn(z) and Qmn'(z) for all orders from 0..m and degrees from 0..n.

Parameters

m : int: |m| <= n; the order of the Legendre function.
n : int: where n >= 0; the degree of the Legendre function. Often called l (lower case L) in descriptions of the associated Legendre function
z : array_like, complex: Input value.

Returns

Qmn_z : (m+1, n+1) array: Values for all orders 0..m and degrees 0..n
Qmn_d_z : (m+1, n+1) array: Derivatives for all orders 0..m and degrees 0..n

Aliases

scipy.special.lqmn