EllipticExp (Built-in Mathematica Symbol)

EllipticExp[u, {a, b}] is the inverse for EllipticLog. It produces a list {x, y} such that u == EllipticLog[{x, y}, {a, b}].

WhittakerM (Built-in Mathematica Symbol)

WhittakerM[k, m, z] gives the Whittaker function M k, m (z).

EllipticLog (Built-in Mathematica Symbol)

EllipticLog[{x, y}, {a, b}] gives the generalized logarithm associated with the elliptic curve y^2 = x^3 + a x^2 + b x.

BarnesG (Built-in Mathematica Symbol)

BarnesG[z] gives the Barnes G-function G(z).

NevilleThetaD (Built-in Mathematica Symbol)

NevilleThetaD[z, m] gives the Neville theta function \[CurlyTheta]_d (z \[VerticalSeparator] m).

ModularLambda (Built-in Mathematica Symbol)

ModularLambda[\[Tau]] gives the modular lambda elliptic function \[Lambda](\[Tau]).

Erfi (Built-in Mathematica Symbol)

Erfi[z] gives the imaginary error function erf(i z)/i.

InverseJacobiSN (Built-in Mathematica Symbol)

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