Beta (Built-in Mathematica Symbol)

Beta[a, b] gives the Euler beta function \[CapitalBeta](a, b). Beta[z, a, b] gives the incomplete beta function \[CapitalBeta]_z (a, b).

Create Definitions for Variables and ... (Mathematica How To)

Mathematica has a very general notion of functions, as rules for arbitrary transformations. Values for variables are also assigned in this manner. When you set a value for a ...

CosIntegral (Built-in Mathematica Symbol)

CosIntegral[z] gives the cosine integral function Ci(z).

RiemannSiegelZ (Built-in Mathematica Symbol)

RiemannSiegelZ[t] gives the Riemann\[Dash]Siegel function Z(t).

WeierstrassPPrime (Built-in Mathematica Symbol)

WeierstrassPPrime[u, {g_2, g_3}] gives the derivative of the Weierstrass elliptic function \[WeierstrassP](u; g_2, g_3).

Erfc (Built-in Mathematica Symbol)

Erfc[z] gives the complementary error function erfc(z).

Erf (Built-in Mathematica Symbol)

Erf[z] gives the error function erf(z). Erf[z_0, z_1] gives the generalized error function erf(z_1) - erf(z_0).

HarmonicNumber (Built-in Mathematica Symbol)

HarmonicNumber[n] gives the n\[Null]^th harmonic number H_n. HarmonicNumber[n, r] gives the harmonic number H_n^(r) of order r.

JacobiNS (Built-in Mathematica Symbol)

JacobiNS[u, m] gives the Jacobi elliptic function ns(u | m).

LegendreP (Built-in Mathematica Symbol)

LegendreP[n, x] gives the Legendre polynomial P_n (x). LegendreP[n, m, x] gives the associated Legendre polynomial P_n^m(x).