PolynomialLCM (Built-in Mathematica Symbol)

PolynomialLCM[poly_1, poly_2, ...] gives the least common multiple of the polynomials poly_i. PolynomialLCM[poly_1, poly_2, ..., Modulus -> p] evaluates the LCM modulo the ...

PolyGamma (Built-in Mathematica Symbol)

PolyGamma[z] gives the digamma function \[Psi](z). PolyGamma[n, z] gives the n\[Null]^th derivative of the digamma function \[Psi] (n) (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).

InverseJacobiNS (Built-in Mathematica Symbol)

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

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}.

RamanujanTau (Built-in Mathematica Symbol)

RamanujanTau[n] gives the Ramanujan \[Tau] function \[Tau](n).

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 ...