Residue[expr, {z, z_0}] finds the residue of expr at the point z = z_0.

ArcSinh[z] gives the inverse hyperbolic sine sinh -1 (z) of the complex number z.

The Developer Utilities Package includes functions that directly access specific internal algorithms and capabilities of Mathematica that are normally used only as part of ...

i ;; j represents a span of elements i through j.i ;; represents a span from i to the end.;; j represents a span from the beginning to j.;; represents a span that includes ...

Mathematica automatically uses sophisticated algorithms to track the precision of approximate numbers. Particularly for some verification applications, however, it is ...

RamanujanTau[n] gives the Ramanujan \[Tau] function \[Tau](n).

PlotPoints is an option for plotting functions that specifies how many initial sample points to use.

IntegerExponent[n, b] gives the highest power of b that divides n.

Converting between symbols and their names. Here is the symbol x. Its name is a string.

WeierstrassP[u, {g_2, g_3}] gives the Weierstrass elliptic function \[WeierstrassP](u; g_2, g_3).