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

Chebs() Function Chebs ( C() As  Double, N As  Long, X As  Double, Optional Info As  Long  ) Evaluation of Chebyshev series Purpose This routine evaluates the Chebyshev series by using Clenshaw algorithm. f(x) = c0/2 + ΣciTi(x) (i = 0 to n-1) (-1 <= x <= 1) Note - Please be noted that there is factor of 2 difference in the first coefficient c0 depending on the definition of the Chebyshev series. Returns Double The value of Chebyshev series. Parameters [in] C() Array C(LC - 1) (LC >= N) Coefficients of Chebyshev series. [in] N Argument n. (N > 0) [in] X Argument x. (-1 <= X <= 1) Note - The range of X will not be checked. [out] Info (Optional) = 0: Successful exit. = -1: The argument C() is invalid. = -2: The argument N had an illegal value. (N <= 0) = 1: Floating point range error. Reference boost/math/special_functions