HarmonicNumber (Built-in Mathematica Symbol)

HarmonicNumber[n] gives the n\[Null]^th harmonic number H_n. HarmonicNumber[n, r] gives the harmonic number H_n^(r) of order r.

LogGamma (Built-in Mathematica Symbol)

LogGamma[z] gives the logarithm of the gamma function log \[CapitalGamma](z).

Mod (Built-in Mathematica Symbol)

Mod[m, n] gives the remainder on division of m by n. Mod[m, n, d] uses an offset d.

ThreeJSymbol (Built-in Mathematica Symbol)

ThreeJSymbol[{j_1, m_1}, {j_2, m_2}, {j_3, m_3}] gives the values of the Wigner 3-j symbol.

WignerD (Built-in Mathematica Symbol)

WignerD[{j, m_1, m_2}, \[Psi], \[Theta], \[Phi]] gives the Wigner D-function D_m_1^m_2, j(\[Psi], \[Theta], \[Phi]).WignerD[{j, m_1, m_2}, \[Theta], \[Phi]] gives the Wigner ...

AiryAi (Built-in Mathematica Symbol)

AiryAi[z] gives the Airy function Ai(z).

New in 7.0: Mathematics & Algorithms (Mathematica Guide)

Mathematica 7 represents another major achievement in Mathematica's long history of innovation in mathematics and algorithms. Building on the broad capabilities of ...

NIntegrate References (Mathematica Tutorial)

[BerntEspGenz91] Berntsen, J., T. O. Espelid, and A. Genz. "An Adaptive Algorithm for the Approximate Calculation of Multiple Integrals." ACM Trans. Math. Softw. 17, no. 4 ...

Beta (Built-in Mathematica Symbol)

Beta[a, b] gives the Euler beta function \[CapitalBeta](a, b). Beta[z, a, b] gives the incomplete beta function \[CapitalBeta]_z (a, b).

Integer Functions (Mathematica Guide)

Mathematica contains hundreds of original algorithms for computing integer functions involving integers of any size.