ArcCsc (Built-in Mathematica Symbol)

ArcCsc[z] gives the arc cosecant csc -1 (z) of the complex number z.

ArcSec (Built-in Mathematica Symbol)

ArcSec[z] gives the arc secant sec -1 (z) of the complex number z.

ArcSinh (Built-in Mathematica Symbol)

ArcSinh[z] gives the inverse hyperbolic sine sinh -1 (z) of the complex number z.

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.

BellB (Built-in Mathematica Symbol)

BellB[n] gives the Bell number B_n. BellB[n, x] gives the Bell polynomial B_n (x).

BesselJ (Built-in Mathematica Symbol)

BesselJ[n, z] gives the Bessel function of the first kind J_n (z).

CarmichaelLambda (Built-in Mathematica Symbol)

CarmichaelLambda[n] gives the Carmichael function \[Lambda](n), defined as the smallest integer m such that k^m \[Congruent] 1 mod n for all k relatively prime to n.

CoshIntegral (Built-in Mathematica Symbol)

CoshIntegral[z] gives the hyperbolic cosine integral Chi(z).

CosIntegral (Built-in Mathematica Symbol)

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

DivisorSigma (Built-in Mathematica Symbol)

DivisorSigma[k, n] gives the divisor function \[Sigma]_k (n).