NSolve (Built-in Mathematica Symbol)

NSolve[expr, vars] attempts to find numerical approximations to the solutions of the system expr of equations or inequalities for the variables vars. NSolve[expr, vars, ...

WeberE (Built-in Mathematica Symbol)

WeberE[\[Nu], z] gives the Weber function E \[Nu] (z).WeberE[\[Nu], \[Mu], z] gives the associated Weber function E_\[Nu]^\[Mu](z).

JacobiZeta (Built-in Mathematica Symbol)

JacobiZeta[\[Phi], m] gives the Jacobi zeta function Z(\[Phi] \[VerticalSeparator] m).

GammaRegularized (Built-in Mathematica Symbol)

GammaRegularized[a, z] is the regularized incomplete gamma function Q(a, z).

AngerJ (Built-in Mathematica Symbol)

AngerJ[\[Nu], z] gives the Anger function J_v(z).AngerJ[\[Nu], \[Mu], z] gives the associated Anger function J_\[Nu]^\[Mu](z).

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 ...

Functions of Complex Variables (Mathematica Guide)

Mathematica transparently works with complex variables throughout, not only numerically, but also symbolically—often relying on original results to handle intricate branch ...

Modifying Built-in Functions (Mathematica Tutorial)

Mathematica allows you to define transformation rules for any expression. You can define such rules not only for functions that you add to Mathematica, but also for intrinsic ...

Applying Functions Repeatedly (Mathematica Tutorial)

Many programs you write will involve operations that need to be iterated several times. Nest and NestList are powerful constructs for doing this. Applying functions of one ...

NevilleThetaN (Built-in Mathematica Symbol)

NevilleThetaN[z, m] gives the Neville theta function \[CurlyTheta]_n (z \[VerticalSeparator] m).