Notebook Basics (Mathematica Guide)

From simple calculations to full publishable documents and sophisticated dynamic interfaces, everything you can do with Mathematica's standard interactive interface is done ...

SphericalHankelH1 (Built-in Mathematica Symbol)

SphericalHankelH1[n, z] gives the spherical Hankel function of the first kind h_n^(1)(z).

EllipticExp (Built-in Mathematica Symbol)

EllipticExp[u, {a, b}] is the inverse for EllipticLog. It produces a list {x, y} such that u == EllipticLog[{x, y}, {a, b}].

Building Lists from Functions (Mathematica Tutorial)

Making lists from functions. This makes a list of 5 elements, each of the form p[i]. Here is another way to produce the same list.

WeierstrassPPrime (Built-in Mathematica Symbol)

WeierstrassPPrime[u, {g_2, g_3}] gives the derivative of the Weierstrass elliptic function \[WeierstrassP](u; g_2, g_3).

Operators without Built-in Meanings (Mathematica Tutorial)

When you enter a piece of input such as 2+2, Mathematica first recognizes the + as an operator and constructs the expression Plus[2,2], then uses the built-in rules for Plus ...

Hypergeometric2F1 (Built-in Mathematica Symbol)

Hypergeometric2F1[a, b, c, z] is the hypergeometric function \[InvisiblePrefixScriptBase]_2 F_1 (a, b; c; z).

SphericalHankelH2 (Built-in Mathematica Symbol)

SphericalHankelH2[n, z] gives the spherical Hankel function of the second kind h_n^(2)(z).

InverseJacobiDC (Built-in Mathematica Symbol)

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

InverseJacobiNC (Built-in Mathematica Symbol)

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