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

Chebt() Function Chebt ( N As  Long, X As  Double, Optional Info As  Long  ) Chebyshev polynomial of first kind Tn(x) Purpose Computes the Chebyshev polynomial of the first kind Tn(x). Tn(x) = cos(nt), where x = cos(t) This polynomial follows the recurrence formula: Tn+1(x) = 2xTn(x) - Tn-1(x), where T0(x) = 1 and T1(x) = x (n > 0) Returns Double Chebyshev polynomial of first kind Tn(x). Parameters [in] N Argument n. (N >= 0) [in] X Argument x. [out] Info (Optional) = 0: Successful exit. = -1: The argument N had an illegal value. (N <= 0) = 1: Floating point range error. Reference boost/math/special_functions