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# 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`.

  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 : float or complex Input value.
  Returns : | Pmn_z : (m+1, n+1) array Values for all orders 0..m and degrees 0..n Pmn_d_z : (m+1, n+1) array Derivatives for all orders 0..m and degrees 0..n

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