Alaguerre Alaguerre_sub Alegendre Alegendre_sub Chebs Chebt Chebt_sub Chebtd Chebtd_sub Chebu Chebu_sub Gegenbauer Gegenbauer_sub Gegenbauerd Gegenbauerd1 Gegenbauerd1_sub Gegenbauerd_sub Hermite Hermite_sub Jacobi Jacobi_sub Jacobid Jacobid1 Jacobid1_sub Jacobid2 Jacobid2_sub Jacobid_sub Laguerre Laguerre_sub Legendre Legendre_sub Legendred Legendred_sub Sharmonic Sharmonici Sharmonici_sub Sharmonicr Sharmonicr_sub

Alegendre() Function Alegendre ( N As  Long, M As  Long, X As  Double, Optional Info As  Long  ) Associated Legendre polynomial Pnm(x) Purpose Computes the associated Legendre polynomial. Pnm(x) = (-1)^m (1 - x^2)^(m/2) dm/dxm Pn(x) Note that the term (-1)^m may not be included depending on the definition. Returns Double Associated Legendre polynomial Pnm(x). Parameters [in] N Argument n. (0 <= N < 128) [in] M Argument m. (0 <= M <= N) [in] X Argument x (|X| <= 1). [out] Info (Optional) = 0: Successful exit. = -1: The argument N had an illegal value. (N < 0, N >= 128) = -2: The argument M had an illegal value. (M < 0, M > N) = -3: The argument X had an illegal value. (|X| > 1) = 1: Floating point range error. Reference boost/math/special_functions