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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.

  z can be complex.

  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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