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

Lists are very important and general structures in Mathematica. They allow you to treat collections of all kinds of objects as a single entity. There are many ways to ...

Ellipsoid[{x_1, ..., x_p}, {r_1, ..., r_p}] represents a p-dimensional ellipsoid centered at the point {x_1, ..., x_p} with semi-axis radii r_i aligned with the coordinate ...

ExpandDenominator[expr] expands out products and powers that appear as denominators in expr.

It is always a good idea to give variables and functions names that are as explicit as possible. Sometimes, however, such names may get inconveniently long. In Mathematica, ...

Within a standard interactive session, you can create "subsessions" or dialogs using the Mathematica command Dialog. Dialogs are often useful if you want to interact with ...

Subfactorial[n] gives the number of permutations of n objects that leave no object fixed.

Applying transformation rules. The replacement operator /. (pronounced "slash-dot") applies rules to expressions. You can give a list of rules to apply. Each rule will be ...

When you set up mathematical formulas, you often have to introduce various kinds of local objects or "dummy variables". You can treat such dummy variables using modules and ...

MapIndexed[f, expr] applies f to the elements of expr, giving the part specification of each element as a second argument to f. MapIndexed[f, expr, levelspec] applies f to ...