DivisorSigma (Built-in Mathematica Symbol)

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

EulerE (Built-in Mathematica Symbol)

EulerE[n] gives the Euler number E_n. EulerE[n, x] gives the Euler polynomial E_n (x).

GCD (Built-in Mathematica Symbol)

GCD[n_1, n_2, ...] gives the greatest common divisor of the n_i.

GegenbauerC (Built-in Mathematica Symbol)

GegenbauerC[n, m, x] gives the Gegenbauer polynomial C_n^(m)(x). GegenbauerC[n, x] gives the renormalized form lim_(m->0) C_n^(m)(x)/m.

Hypergeometric1F1 (Built-in Mathematica Symbol)

Hypergeometric1F1[a, b, z] is the Kummer confluent hypergeometric function \[Null]_1 F_1 (a; b; z).

HypergeometricU (Built-in Mathematica Symbol)

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

InverseLaplaceTransform (Built-in Mathematica Symbol)

InverseLaplaceTransform[expr, s, t] gives the inverse Laplace transform of expr. InverseLaplaceTransform[expr, {s_1, s_2, ...}, {t_1, t_2, ...}] gives the multidimensional ...

LaguerreL (Built-in Mathematica Symbol)

LaguerreL[n, x] gives the Laguerre polynomial L_n (x). LaguerreL[n, a, x] gives the generalized Laguerre polynomial L_n^a(x).

LCM (Built-in Mathematica Symbol)

LCM[n_1, n_2, ...] gives the least common multiple of the n_i.

LegendreQ (Built-in Mathematica Symbol)

LegendreQ[n, z] gives the Legendre function of the second kind Q_n (z). LegendreQ[n, m, z] gives the associated Legendre function of the second kind Q_n^m(z).