HankelH2 (Built-in Mathematica Symbol)

HankelH2[n, z] gives the Hankel function of the second kind H_n^(2)(z).

InverseJacobiSN (Built-in Mathematica Symbol)

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

DedekindEta (Built-in Mathematica Symbol)

DedekindEta[\[Tau]] gives the Dedekind eta modular elliptic function \[Eta](\[Tau]).

HankelH1 (Built-in Mathematica Symbol)

HankelH1[n, z] gives the Hankel function of the first kind H_n^(1)(z).

Numerical Solution of Differential ... (Mathematica Tutorial)

The function NDSolve discussed in "Numerical Differential Equations" allows you to find numerical solutions to differential equations. NDSolve handles both single ...

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).

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 ...

RSolve (Built-in Mathematica Symbol)

RSolve[eqn, a[n], n] solves a recurrence equation for a[n]. RSolve[{eqn_1, eqn_2, ...}, {a_1[n], a_2[n], ...}, n] solves a system of recurrence equations. RSolve[eqn, a[n_1, ...

Composition (Built-in Mathematica Symbol)

Composition[f_1, f_2, f_3, ...] represents a composition of the functions f_1, f_2, f_3, ....

Geometric Transforms (Mathematica Guide)

Mathematica's symbolic architecture and sophisticated mathematical capabilities allow it to take a uniquely high-level approach to geometric transformations—supporting ...