C3. 多項式

関数
Function	Alaguerre (N As Long, M As Long, X As Double, Optional Info As Long) As Double
	ラゲール陪多項式 Lnm(x)
Function	Alegendre (N As Long, M As Long, X As Double, Optional Info As Long) As Double
	ルジャンドル陪多項式 Pnm(x)
Function	Chebs (C() As Double, N As Long, X As Double, Optional Info As Long) As Double
	チェビシェフ級数の値
Function	Chebt (N As Long, X As Double, Optional Info As Long) As Double
	第 1 種チェビシェフ多項式 Tn(x)
Function	Chebtd (N As Long, X As Double, Optional Info As Long) As Double
	第 1 種チェビシェフ多項式の導関数 Tn'(x)
Function	Chebu (N As Long, X As Double, Optional Info As Long) As Double
	第 2 種チェビシェフ多項式 Un(x)
Function	Gegenbauer (N As Long, Lambda As Double, X As Double, Optional Info As Long) As Double
	ゲーゲンバウアー多項式 Cn(λ)(x)
Function	Gegenbauerd (N As Long, Lambda As Double, X As Double, K As Long, Optional Info As Long) As Double
	ゲーゲンバウアー多項式 Cn(λ)(x) の k 次導関数
Function	Gegenbauerd1 (N As Long, Lambda As Double, X As Double, Optional Info As Long) As Double
	ゲーゲンバウアー多項式 Cn(λ)(x) の 1 次導関数
Function	Hermite (N As Long, X As Double, Optional Info As Long) As Double
	エルミート多項式 Hn(x)
Function	Jacobi (N As Long, Alpha As Double, Beta As Double, X As Double, Optional Info As Long) As Double
	ヤコビ多項式 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
	ヤコビ多項式 Pn(α, β)(x) の k 次導関数
Function	Jacobid1 (N As Long, Alpha As Double, Beta As Double, X As Double, Optional Info As Long) As Double
	ヤコビ多項式 Pn(α, β)(x) の 1 次導関数
Function	Jacobid2 (N As Long, Alpha As Double, Beta As Double, X As Double, Optional Info As Long) As Double
	ヤコビ多項式 Pn(α, β)(x) の 2 次導関数
Function	Laguerre (N As Long, X As Double, Optional Info As Long) As Double
	ラゲール多項式 Ln(x)
Function	Legendre (N As Long, X As Double, Optional Info As Long) As Double
	ルジャンドル多項式 Pn(x)
Function	Legendred (N As Long, X As Double, Optional Info As Long) As Double
	ルジャンドル多項式の導関数 Pn'(x)
Function	Sharmonic (L As Long, M As Long, Theta As Double, Phi As Double, Optional Info As Long) As Complex
	球面調和関数 Ylm(θ, φ)
Function	Sharmonici (L As Long, M As Long, Theta As Double, Phi As Double, Optional Info As Long) As Double
	球面調和関数 Ylm(θ, φ) の虚数部
Function	Sharmonicr (L As Long, M As Long, Theta As Double, Phi As Double, Optional Info As Long) As Double
	球面調和関数 Ylm(θ, φ) の実数部
Sub	Alaguerre_sub (Ret As Double, N As Long, M As Long, X As Double, Optional Info As Long)
	ラゲール陪多項式 Lnm(x) (サブルーチン版)
Sub	Alegendre_sub (Ret As Double, N As Long, M As Long, X As Double, Optional Info As Long)
	ルジャンドル陪多項式 Pnm(x) (サブルーチン版)
Sub	Chebt_sub (Ret As Double, N As Long, X As Double, Optional Info As Long)
	第 1 種チェビシェフ多項式 Tn(x) (サブルーチン版)
Sub	Chebtd_sub (Ret As Double, N As Long, X As Double, Optional Info As Long)
	第 1 種チェビシェフ多項式の導関数 Tn'(x) (サブルーチン版)
Sub	Chebu_sub (Ret As Double, N As Long, X As Double, Optional Info As Long)
	第 2 種チェビシェフ多項式 Un(x) (サブルーチン版)
Sub	Gegenbauer_sub (Ret As Double, N As Long, Lambda As Double, X As Double, Optional Info As Long)
	ゲーゲンバウアー多項式 Cn(λ)(x) (サブルーチン版)
Sub	Gegenbauerd1_sub (Ret As Double, N As Long, Lambda As Double, X As Double, Optional Info As Long)
	ゲーゲンバウアー多項式 Cn(λ)(x) の 1 次導関数 (サブルーチン版)
Sub	Gegenbauerd_sub (Ret As Double, N As Long, Lambda As Double, X As Double, K As Long, Optional Info As Long)
	ゲーゲンバウアー多項式 Cn(λ)(x) の k 次導関数 (サブルーチン版)
Sub	Hermite_sub (Ret As Double, N As Long, X As Double, Optional Info As Long)
	エルミート多項式 Hn(x) (サブルーチン版)
Sub	Jacobi_sub (Ret As Double, N As Long, Alpha As Double, Beta As Double, X As Double, Optional Info As Long)
	ヤコビ多項式 Pn(α, β)(x)
Sub	Jacobid1_sub (Ret As Double, N As Long, Alpha As Double, Beta As Double, X As Double, Optional Info As Long)
	ヤコビ多項式 Pn(α, β)(x) の 1 次導関数 (サブルーチン版)
Sub	Jacobid2_sub (Ret As Double, N As Long, Alpha As Double, Beta As Double, X As Double, Optional Info As Long)
	ヤコビ多項式 Pn(α, β)(x) の 2 次導関数 (サブルーチン版)
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)
	ヤコビ多項式 Pn(α, β)(x) の k 次導関数 (サブルーチン版)
Sub	Laguerre_sub (Ret As Double, N As Long, X As Double, Optional Info As Long)
	ラゲール多項式 Ln(x) (サブルーチン版)
Sub	Legendre_sub (Ret As Double, N As Long, X As Double, Optional Info As Long)
	ルジャンドル多項式 Pn(x) (サブルーチン版)
Sub	Legendred_sub (Ret As Double, N As Long, X As Double, Optional Info As Long)
	ルジャンドル多項式の導関数 Pn'(x) (サブルーチン版)
Sub	Sharmonici_sub (Ret As Double, L As Long, M As Long, Theta As Double, Phi As Double, Optional Info As Long)
	球面調和関数 Ylm(θ, φ) の虚数部 (サブルーチン版)
Sub	Sharmonicr_sub (Ret As Double, L As Long, M As Long, Theta As Double, Phi As Double, Optional Info As Long)
	球面調和関数 Ylm(θ, φ) の実数部 (サブルーチン版)

詳解

C3. 多項式 プログラムを表示しています.