LogIntegral[z] is the logarithmic integral function li(z).

The ability to define and use your own functions is part of what gives Mathematica such power. It is often inconvenient to have to explicitly name a function for every small ...

When you make a function definition using :=, the value of the function is recomputed every time you ask for it. In some kinds of calculations, you may end up asking for the ...

Spheroidal functions. The radial spheroidal functions SpheroidalS1[n,m, γ,z] and SpheroidalS2[n,m,γ,z] and angular spheroidal functions SpheroidalPS[n,m,γ,z] and ...

FunctionExpand[expr] tries to expand out special and certain other functions in expr, when possible reducing compound arguments to simpler ones. FunctionExpand[expr, assum] ...

If you have a list of elements, it is often important to be able to apply a function separately to each of the elements. You can do this in Mathematica using Map. This ...

Introduced soon after ordinary hypergeometric functions, the q functions have long been studied as theoretical generalizations of hypergeometric and other functions. ...

 

Mathematica immediately allows you to do arithmetic not only with individual numbers, but also with arbitrary lists or arrays—as well as symbolic and algebraic forms. ...

Mathematica gives you the power to visualize functions of two variables in multiple ways, including three-dimensional parametric plots, spherical plots, polar plots, and ...