ArcTan (Built-in Mathematica Symbol)

ArcTan[z] gives the arc tangent tan -1 (z) 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.

HypergeometricU (Built-in Mathematica Symbol)

HypergeometricU[a, b, z] is the confluent hypergeometric function U(a, b, z).

WeierstrassZeta (Built-in Mathematica Symbol)

WeierstrassZeta[u, {g_2, g_3}] gives the Weierstrass zeta function \[Zeta](u; g_2, g_3).

NevilleThetaS (Built-in Mathematica Symbol)

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

HypergeometricPFQRegularized (Built-in Mathematica Symbol)

HypergeometricPFQRegularized[{a_1, ..., a_p}, {b_1, ..., b_q}, z] is the regularized generalized hypergeometric function \[Null]_p F_q (a; b; z)/(\[CapitalGamma](b_1) ... ...

LogBarnesG (Built-in Mathematica Symbol)

LogBarnesG[z] gives the logarithm of the Barnes G-function logG(z).

EulerPhi (Built-in Mathematica Symbol)

EulerPhi[n] gives the Euler totient function \[Phi](n).

HurwitzZeta (Built-in Mathematica Symbol)

HurwitzZeta[s, a] gives the Hurwitz zeta function \[Zeta](s, a).

AppellF1 (Built-in Mathematica Symbol)

AppellF1[a, b_1, b_2, c, x, y] is the Appell hypergeometric function of two variables F_1 (a; b_1, b_2; c; x, y).

OptionsPattern (Built-in Mathematica Symbol)

OptionsPattern[] is a pattern object that represents a collection of options given as rules, where the values of the options can be accessed using OptionValue. ...