ArcCos      ArcCos[z] gives the arc cosine of the complex number z.
ArcCosh     ArcCosh[z] gives the inverse hyperbolic cosine of the complex number z.
ArcCot      ArcCot[z] gives the arc cotangent of the complex number z.
ArcCoth     ArcCoth[z] gives the inverse hyperbolic cotangent of the complex number z.
ArcCsc      ArcCsc[z] gives the arc cosecant of the complex number z.
ArcCsch     ArcCsch[z] gives the inverse hyperbolic cosecant of the complex number z.
ArcSec      ArcSec[z] gives the arc secant of the complex number z.
ArcSech     ArcSech[z] gives the inverse hyperbolic secant of the complex number z.
ArcSin      ArcSin[z] gives the arc sine of the complex number z.
ArcSinh     ArcSinh[z] gives the inverse hyperbolic sine of the complex number z.
ArcTan      ArcTan[z] gives the arc tangent of the complex number z. ArcTan[x, y] gives the arc tangent of y/x, taking into account which quadrant the point (x, y) is in.
ArcTanh     ArcTanh[z] gives the hyperbolic arc tangent of the complex number z.
BesselI     BesselI[n, z] gives the modified Bessel function of the first kind I(n, z).
BesselJ     BesselJ[n, z] gives the Bessel function of the first kind J(n, z).
BesselK     BesselK[n, z] gives the modified Bessel function of the second kind K(n, z).
BesselY     BesselY[n, z] gives the Bessel function of the second kind Y(n, z).
Beta        Beta[a, b] gives the Euler beta function B(a, b). Beta[z, a, b] gives the incomplete beta function B(z, a, b). Beta[z0, z1, a, b] gives the generalized incomplete beta function Beta[z1, a, b] - Beta[z0, a, b].
BetaRegularized BetaRegularized[z, a, b] gives the regularized incomplete beta function I(z, a, b).
ChebyshevT  ChebyshevT[n, x] gives the nth Chebyshev polynomial of the first kind.
ChebyshevU  ChebyshevU[n, x] gives the nth Chebyshev polynomial of the second kind.
Cos         Cos[z] gives the cosine of z.
Cosh        Cosh[z] gives the hyperbolic cosine of z.
CoshIntegral CoshIntegral[z] gives the hyperbolic cosine integral Chi(z).
CosIntegral CosIntegral[z] gives the cosine integral function Ci(z).
Cot         Cot[z] gives the cotangent of z.
Coth        Coth[z] gives the hyperbolic cotangent of z.
Csc         Csc[z] gives the cosecant of z.
Csch        Csch[z] gives the hyperbolic cosecant of z.
Divide      x/y or Divide[x, y] is equivalent to x y^-1.
Erf         Erf[z] gives the error function erf(z). Erf[z0, z1] gives the generalized error function erf(z1) - erf(z0).
Erfc        Erfc[z] gives the complementary error function erfc(z).
Erfi        Erfi[z] gives the imaginary error function erf(iz) / i.
Exp         Exp[z] is the exponential function.
ExpIntegralE ExpIntegralE[n, z] gives the exponential integral function E(n, z).
ExpIntegralEi ExpIntegralEi[z] gives the exponential integral function Ei(z).
Factorial   n! gives the factorial of n.
Factorial2  n!! gives the double factorial of n.
Gamma       Gamma[z] is the Euler gamma function. Gamma[a, z] is the incomplete gamma function. Gamma[a, z0, z1] is the generalized incomplete gamma function Gamma[a, z0] - Gamma[a, z1].
GammaRegularized GammaRegularized[a, z] is the regularized incomplete gamma function Q(a, z).
HermiteH    HermiteH[n, x] gives the n-th Hermite polynomial in x.
Hypergeometric0F1 Hypergeometric0F1[a, z] is the hypergeometric function 0F1(; a; z).
Hypergeometric0F1Regularized Hypergeometric0F1Regularized[a, z] is the regularized confluent hypergeometric function Hypergeometric0F1[a, z]/Gamma[a].
Hypergeometric1F1 Hypergeometric1F1[a, b, z] is the Kummer confluent hypergeometric function 1F1(a; b; z).
Hypergeometric1F1Regularized Hypergeometric1F1Regularized[a, b, z] is the regularized confluent hypergeometric function Hypergeometric1F1[a, b, z]/Gamma[b].
Hypergeometric2F1 Hypergeometric2F1[a, b, c, z] is the hypergeometric function 2F1(a, b; c; z).
Hypergeometric2F1Regularized Hypergeometric2F1Regularized[a, b, c, z] is the regularized hypergeometric function Hypergeometric2F1[a, b, c, z]/Gamma[c].
HypergeometricPFQ HypergeometricPFQ[{a1, ... , ap}, {b1, ... , bq}, z] is the generalized hypergeometric function pFq(a; b; z).
HypergeometricPFQRegularized HypergeometricPFQRegularized[{a1, ... , ap}, {b1, ... , bq}, z] is the regularized generalized hypergeometric function HypergeometricPFQ[{a1, ... , ap}, {b1, ... , bq}, z]/(Gamma[b1] ... Gamma[bq]).
HypergeometricU HypergeometricU[a, b, z] is the confluent hypergeometric function U(a, b, z).
InverseErf  InverseErf[s] gives the inverse error function obtained as the solution for z in s = erf(z).
InverseErfc InverseErfc[s] gives the inverse complementary error function obtained as the solution for z in s = erfc(z).
LaguerreL   LaguerreL[n, a, x] gives the n-th generalized Laguerre polynomial in x for parameter a.
LegendreP   LegendreP[n, x] gives the n-th Legendre polynomial in x. LegendreP[n, m, x] gives the associated Legendre polynomial.
LegendreQ   LegendreQ[n, z] gives the n-th Legendre function of the second kind. LegendreQ[n, m, z] gives the associated Legendre function of the second kind.
Log         Log[z] gives the natural logarithm of z (logarithm to base e). Log[b, z] gives the logarithm to base b.
LogGamma    LogGamma[z] gives the logarithm of the gamma function.
LogIntegral LogIntegral[z] is the logarithmic integral function li(z).
Minus       -x is the arithmetic negation of x.
Plus        x + y + z represents a sum of terms.
Power       x^y gives x to the power y.
Sec         Sec[z] gives the secant of z.
Sech        Sech[z] gives the hyperbolic secant of z.
Sin         Sin[z] gives the sine of z.
Sinh        Sinh[z] gives the hyperbolic sine of z.
Sqrt        Sqrt[z] gives the square root of z.
Tan         Tan[z] gives the tangent of z.
Tanh        Tanh[z] gives the hyperbolic tangent of z.
Times       x*y*z or x y z represents a product of terms.