ExpIntegralEi[z] gives the exponential integral function Ei(z).

TrigToExp[expr] converts trigonometric functions in expr to exponentials.

As the basis for many other special functions, Mathematica supports efficient arbitrary-precision evaluation of gamma functions, as well as an extensive web of relations and ...

Mathematica supports zeta and polylogarithm functions of a complex variable in full generality, performing efficient arbitrary-precision evaluation and implementing extensive ...

Mathematica's symbolic character allows it to handle generalized functions or "distributions" as a direct extension of classical mathematical functions, and to represent ...

PolyLog[n, z] gives the polylogarithm function Li_n (z).PolyLog[n, p, z] gives the Nielsen generalized polylogarithm function S n, p (z).

Combinatorial functions. The factorial function n! gives the number of ways of ordering n objects. For non-integer n, the numerical value of n! is obtained from the gamma ...

Mathematica includes all the common special functions of mathematical physics found in standard handbooks. Each of the various classes of functions is discussed in turn. One ...

LogLinearPlot[f, {x, x_min, x_max}] generates a log-linear plot of f as a function of x from x_min to x_max. LogLinearPlot[{f_1, f_2, ...}, {x, x_min, x_max}] generates ...

Pure functions. When you use functional operations such as Nest and Map, you always have to specify a function to apply. In all the examples above, we have used the "name" of ...