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Module « scipy.special »

Fonction lqmn - module scipy.special

Signature de la fonction lqmn

def lqmn(m, n, z) 

Description

help(scipy.special.lqmn)

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)`` = :math:`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

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

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