C3. Polynomials

Functions
Function	Alaguerre (N As Long, M As Long, X As Double, Optional Info As Long) As Double
	Associated Laguerre polynomial Lnm(x)
Function	Alegendre (N As Long, M As Long, X As Double, Optional Info As Long) As Double
	Associated Legendre polynomial Pnm(x)
Function	Chebs (C() As Double, N As Long, X As Double, Optional Info As Long) As Double
	Evaluation of Chebyshev series
Function	Chebt (N As Long, X As Double, Optional Info As Long) As Double
	Chebyshev polynomial of first kind Tn(x)
Function	Chebtd (N As Long, X As Double, Optional Info As Long) As Double
	Derivative of Chebyshev polynomial of first kind Tn'(x)
Function	Chebu (N As Long, X As Double, Optional Info As Long) As Double
	Chebyshev polynomial of second kind Un(x)
Function	Gegenbauer (N As Long, Lambda As Double, X As Double, Optional Info As Long) As Double
	Gegenbauer polynomial Cn(λ)(x)
Function	Gegenbauerd (N As Long, Lambda As Double, X As Double, K As Long, Optional Info As Long) As Double
	K-th derivative of Gegenbauer polynomial Cn(λ)(x)
Function	Gegenbauerd1 (N As Long, Lambda As Double, X As Double, Optional Info As Long) As Double
	First derivative of Gegenbauer polynomial Cn(λ)(x)
Function	Hermite (N As Long, X As Double, Optional Info As Long) As Double
	Hermite polynomial Hn(x)
Function	Jacobi (N As Long, Alpha As Double, Beta As Double, X As Double, Optional Info As Long) As Double
	Jacobi polynomial Pn(α, β)(x)
Function	Jacobid (N As Long, Alpha As Double, Beta As Double, X As Double, K As Long, Optional Info As Long) As Double
	K-th derivative of Jacobi polynomial Pn(α, β)(x)
Function	Jacobid1 (N As Long, Alpha As Double, Beta As Double, X As Double, Optional Info As Long) As Double
	First derivative of Jacobi polynomial Pn(α, β)(x)
Function	Jacobid2 (N As Long, Alpha As Double, Beta As Double, X As Double, Optional Info As Long) As Double
	Second derivative of Jacobi polynomial Pn(α, β)(x)
Function	Laguerre (N As Long, X As Double, Optional Info As Long) As Double
	Laguerre polynomial Ln(x)
Function	Legendre (N As Long, X As Double, Optional Info As Long) As Double
	Legendre polynomial Pn(x)
Function	Legendred (N As Long, X As Double, Optional Info As Long) As Double
	Derivative of Legendre polynomial Pn'(x)
Function	Sharmonic (L As Long, M As Long, Theta As Double, Phi As Double, Optional Info As Long) As Complex
	Spherical harmonic Ylm(θ, φ)
Function	Sharmonici (L As Long, M As Long, Theta As Double, Phi As Double, Optional Info As Long) As Double
	Imaginary part of spherical harmonic Ylm(θ, φ)
Function	Sharmonicr (L As Long, M As Long, Theta As Double, Phi As Double, Optional Info As Long) As Double
	Real part of spherical harmonic Ylm(θ, φ)
Sub	Alaguerre_sub (Ret As Double, N As Long, M As Long, X As Double, Optional Info As Long)
	Associated Laguerre polynomial Lnm(x) (Subroutine version)
Sub	Alegendre_sub (Ret As Double, N As Long, M As Long, X As Double, Optional Info As Long)
	Associated Legendre polynomial Pnm(x) (Subroutine version)
Sub	Chebt_sub (Ret As Double, N As Long, X As Double, Optional Info As Long)
	Chebyshev polynomial of first kind Tn(x) (Subroutine version)
Sub	Chebtd_sub (Ret As Double, N As Long, X As Double, Optional Info As Long)
	Derivative of Chebyshev polynomial of first kind Tn'(x) (Subroutine version)
Sub	Chebu_sub (Ret As Double, N As Long, X As Double, Optional Info As Long)
	Chebyshev polynomial of second kind Un(x) (Subroutine version)
Sub	Gegenbauer_sub (Ret As Double, N As Long, Lambda As Double, X As Double, Optional Info As Long)
	Gegenbauer polynomial Cn(λ)(x) (Subroutine version)
Sub	Gegenbauerd1_sub (Ret As Double, N As Long, Lambda As Double, X As Double, Optional Info As Long)
	First derivative of Gegenbauer polynomial Cn(λ)(x) (Subroutine version)
Sub	Gegenbauerd_sub (Ret As Double, N As Long, Lambda As Double, X As Double, K As Long, Optional Info As Long)
	K-th derivative of Gegenbauer polynomial Cn(λ)(x) (Subroutine version)
Sub	Hermite_sub (Ret As Double, N As Long, X As Double, Optional Info As Long)
	Hermite polynomial Hn(x) (Subroutine version)
Sub	Jacobi_sub (Ret As Double, N As Long, Alpha As Double, Beta As Double, X As Double, Optional Info As Long)
	Jacobi polynomial Pn(α, β)(x) (Subroutine version)
Sub	Jacobid1_sub (Ret As Double, N As Long, Alpha As Double, Beta As Double, X As Double, Optional Info As Long)
	First derivative of Jacobi polynomial Pn(α, β)(x) (Subroutine version)
Sub	Jacobid2_sub (Ret As Double, N As Long, Alpha As Double, Beta As Double, X As Double, Optional Info As Long)
	Second derivative of Jacobi polynomial Pn(α, β)(x) (Subroutine version)
Sub	Jacobid_sub (Ret As Double, N As Long, Alpha As Double, Beta As Double, X As Double, K As Long, Optional Info As Long)
	K-th derivative of Jacobi polynomial Pn(α, β)(x) (Subroutine version)
Sub	Laguerre_sub (Ret As Double, N As Long, X As Double, Optional Info As Long)
	Laguerre polynomial Ln(x) (Subroutine version)
Sub	Legendre_sub (Ret As Double, N As Long, X As Double, Optional Info As Long)
	Legendre polynomial Pn(x) (Subroutine version)
Sub	Legendred_sub (Ret As Double, N As Long, X As Double, Optional Info As Long)
	Derivative of Legendre polynomial Pn'(x) (Subroutine version)
Sub	Sharmonici_sub (Ret As Double, L As Long, M As Long, Theta As Double, Phi As Double, Optional Info As Long)
	Imaginary part of spherical harmonic Ylm(θ, φ) (Subroutine version)
Sub	Sharmonicr_sub (Ret As Double, L As Long, M As Long, Theta As Double, Phi As Double, Optional Info As Long)
	Real part of spherical harmonic Ylm(θ, φ) (Subroutine version)

Detailed Description

This is the group of C3. Polynomials.