DirichletL (Built-in Mathematica Symbol)

DirichletL[k, j, s] gives the Dirichlet L-function L(\[Chi], s) for the Dirichlet character \[Chi](n) with modulus k and index j.

InverseJacobiNS (Built-in Mathematica Symbol)

InverseJacobiNS[v, m] gives the inverse Jacobi elliptic function ns -1 (v \[VerticalSeparator] m).

WeierstrassHalfPeriods (Built-in Mathematica Symbol)

WeierstrassHalfPeriods[{g_2, g_3}] gives the half-periods {\[Omega], \[Omega]^\[Prime]} for Weierstrass elliptic functions corresponding to the invariants {g_2, g_3}.

CentralMomentGeneratingFunction (Built-in Mathematica Symbol)

CentralMomentGeneratingFunction[dist, t] gives the central moment generating function for the symbolic distribution dist as a function of the variable t. ...

Clip (Built-in Mathematica Symbol)

Clip[x] gives x clipped to be between -1 and +1. Clip[x, {min, max}] gives x for min <= x <= max, min for x < min and max for x > max. Clip[x, {min, max}, {v_min, v_max}] ...

PrimePi (Built-in Mathematica Symbol)

PrimePi[x] gives the number of primes \[Pi] (x) less than or equal to x.

RamanujanTauTheta (Built-in Mathematica Symbol)

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

MangoldtLambda (Built-in Mathematica Symbol)

MangoldtLambda[n] gives the von Mangoldt function \[CapitalLambda](n).

LiouvilleLambda (Built-in Mathematica Symbol)

LiouvilleLambda[n] gives the Liouville function \[Lambda](n).

ParabolicCylinderD (Built-in Mathematica Symbol)

ParabolicCylinderD[\[Nu], z] gives the parabolic cylinder function D_\[Nu] (z).