The Mathematica compiler provides an important way both to speed up and also to work with Mathematica computations. It does this by taking assumptions about the computations ...

The functionality is now available in built-in Mathematica kernel functions RSolve, ZTransform, and Sum. The built-in kernel function SeriesCoefficient now contains the ...

QGamma[z, q] gives the q-gamma function \[CapitalGamma]_q (z).

TimeUsed[] gives the total number of seconds of CPU time used so far in the current Mathematica session.

If you make a definition such as f[x_]:=value, Mathematica will use the value you give for any f function it encounters. In some cases, however, you may want to define a ...

The general solution to this equation is found by separation of variables. Even when variables can be separated, the final solution might be accompanied by a warning message ...

Functions to pick out pieces of polynomials. Here is an algebraic expression. This gives the coefficient of x in e.

A partial differential equation (PDE) is a relationship between an unknown function u(x_1,x_2,…,x_n) and its derivatives with respect to the variables x_1,x_2,…,x_n. Here is ...

Mathematica can be used to make plots of functions. You give Mathematica a function, and it builds up a curve or surface by evaluating the function at many different points. ...

NorlundB[n, a] gives Nørlund polynomials B_n^(a) of degree n in a.NorlundB[n, a, x] gives generalized Bernoulli polynomials B_n^(a)(x).