Gamma, Beta, Erf

Gamma, Beta, Erf (5,032 formulas)

Factorials
		Factorial[n] (153 formulas)
		Factorial2[n] (77 formulas)
		Pochhammer[a,n] (103 formulas)
Binomials
		Binomial[n,k] (147 formulas)
		Multinomial[n₁,n₂,...,n_m] (32 formulas)
		CatalanNumber[n] (102 formulas)
Gamma Functions and Inverses
		Gamma[z] (193 formulas)
		Gamma[a,z] (153 formulas)
		Gamma[a,z₁,z₂] (90 formulas)
		GammaRegularized[a,z] (142 formulas)
		GammaRegularized[a,z₁,z₂] (85 formulas)
		Subfactorial[z] (91 formulas)
		LogGamma[z] (130 formulas)
		InverseGammaRegularized[a,z] (29 formulas)
		InverseGammaRegularized[a,z₁,z₂] (17 formulas)
Differentiated Gamma Functions
		PolyGamma[z] (117 formulas)
		PolyGamma[nu,z] (214 formulas)
		HarmonicNumber[z] (127 formulas)
		HarmonicNumber[z,r] (92 formulas)
Beta Functions and Inverses
		Beta[a,b] (72 formulas)
		Beta[z,a,b] (193 formulas)
		Beta[z₁,z₂,a,b] (106 formulas)
		BetaRegularized[z,a,b] (173 formulas)
		BetaRegularized[z₁,z₂,a,b] (98 formulas)
		InverseBetaRegularized[z,a,b] (31 formulas)
		InverseBetaRegularized[z₁,z₂,a,b] (15 formulas)
Probability Integrals and Inverses
		Erf[z] (239 formulas)
		Erf[z₁,z₂] (54 formulas)
		Erfc[z] (235 formulas)
		Erfi[z] (246 formulas)
		InverseErf[z] (23 formulas)
		InverseErf[z₁,z₂] (20 formulas)
		InverseErfc[z] (24 formulas)
Fresnel Integrals
		FresnelS[z] (108 formulas)
		FresnelC[z] (226 formulas)
Exponential Integrals
		ExpIntegralE[nu,z] (133 formulas)
		ExpIntegralEi[z] (183 formulas)
		LogIntegral[z] (90 formulas)
		SinIntegral[z] (166 formulas)
		CosIntegral[z] (174 formulas)
		SinhIntegral[z] (159 formulas)
		CoshIntegral[z] (170 formulas)