lqmn#
- scipy.special.lqmn(m, n, z)[source]#
- Sequence of associated Legendre functions of the second kind. - 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..mand degrees from- 0..n.- Parameters:
- mint
- |m| <= n; the order of the Legendre function.
- nint
- where - n >= 0; the degree of the Legendre function. Often called- l(lower case L) in descriptions of the associated Legendre function
- zarray_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 
 
 - 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