ArcCsch (Built-in Mathematica Symbol)

ArcCsch[z] gives the inverse hyperbolic cosecant csch -1 (z) of the complex number z.

Residue (Built-in Mathematica Symbol)

Residue[expr, {z, z_0}] finds the residue of expr at the point z = z_0.

MoebiusMu (Built-in Mathematica Symbol)

MoebiusMu[n] gives the Möbius function \[Mu](n).

Hypergeometric1F1Regularized (Built-in Mathematica Symbol)

Hypergeometric1F1Regularized[a, b, z] is the regularized confluent hypergeometric function \[Null]_1 F_1 (a; b; z)/\[CapitalGamma](b).

ParabolicCylinderD (Built-in Mathematica Symbol)

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

BenktanderGibratDistribution (Built-in Mathematica Symbol)

BenktanderGibratDistribution[a, b] represents a Benktander distribution of type I with parameters a and b.

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}.

GroebnerBasis (Built-in Mathematica Symbol)

GroebnerBasis[{poly_1, poly_2, ...}, {x_1, x_2, ...}] gives a list of polynomials that form a Gröbner basis for the set of polynomials poly_i. GroebnerBasis[{poly_1, poly_2, ...

DifferentialRootReduce (Built-in Mathematica Symbol)

DifferentialRootReduce[expr, x] attempts to reduce expr to a single DifferentialRoot object as a function of x.DifferentialRootReduce[expr, {x, x_0}] takes the initial ...

Differential Operators (Mathematica Guide)

Mathematica's approach to differential operators provides both an elegant and a convenient representation of mathematical structures, and an immediate framework for strong ...