The symbolic language paradigm of Mathematica takes the concept of variables and functions to a new level. In Mathematica a variable can not only stand for a value, but can ...

 

Mathematica has a very general notion of functions, as rules for arbitrary transformations. Values for variables are also assigned in this manner. When you set a value for a ...

When you define a complicated function, you will often want to let some of the arguments of the function be "optional". If you do not give those arguments explicitly, you ...

FunctionSpace is an option for FindSequenceFunction and related functions that specifies the space of functions to consider for representations.

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

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

BetaRegularized[z, a, b] gives the regularized incomplete beta function I_z (a, b).

Unless f is a flat function, a pattern like f[x_,y_] stands only for instances of the function with exactly two arguments. Sometimes you need to set up patterns that can ...