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lqmn(m, n, z)

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 : 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

Sequence of associated Legendre functions of the second kind.

Examples

See :

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GitHub : /scipy/special/_basic.py#1399
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