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).

RamanujanTauTheta (Built-in Mathematica Symbol)

RamanujanTauTheta[t] gives the Ramanujan tau theta function \[Theta](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).

SiegelTheta (Built-in Mathematica Symbol)

SiegelTheta[\[CapitalOmega], s] gives the Siegel theta function \[CapitalTheta] (\[CapitalOmega], s) with Riemann modular matrix \[CapitalOmega] and vector ...

ProductLog (Built-in Mathematica Symbol)

ProductLog[z] gives the principal solution for w in z == w e^w. ProductLog[k, z] gives the k\[Null]^th solution.

Formula Manipulation (Mathematica Guide)

Mathematica handles formulas of all types, from polynomials with millions of terms to complex combinations of higher mathematical functions. It provides powerful general ...

InverseGudermannian (Built-in Mathematica Symbol)

InverseGudermannian[z] gives the inverse Gudermannian function gd -1 (z).

WeierstrassP (Built-in Mathematica Symbol)

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

Hypergeometric0F1Regularized (Built-in Mathematica Symbol)

Hypergeometric0F1Regularized[a, z] is the regularized confluent hypergeometric function \[Null]_0 F_1 (a; z)/\[CapitalGamma](a).

UnitBox (Built-in Mathematica Symbol)

UnitBox[x] represents the unit box function, equal to 1 for |x| <= 1/2 and 0 otherwise.UnitBox[x_1, x_2, ...] represents the multidimensional unit box function, equal to 1 if ...