ComplexExpand[expr] expands expr assuming that all variables are real. ComplexExpand[expr, {x_1, x_2, ...}] expands expr assuming that variables matching any of the x_i are ...
IntegerDigits[n] gives a list of the decimal digits in the integer n. IntegerDigits[n, b] gives a list of the base b digits in the integer n. IntegerDigits[n, b, len] pads ...
InverseSurvivalFunction[dist, q] gives the inverse of the survival function for the symbolic distribution dist as a function of the variable q.
NumberFieldRootsOfUnity[a] gives the roots of unity for the field \[DoubleStruckCapitalQ][a] generated by the algebraic number a.
SpheroidalPS[n, m, \[Gamma], z] gives the angular spheroidal function PS n, m (\[Gamma], z) of the first kind.
WeierstrassPPrime[u, {g_2, g_3}] gives the derivative of the Weierstrass elliptic function \[WeierstrassP](u; g_2, g_3).
Compile
(Built-in Mathematica Symbol) Compile[{x_1, x_2, ...}, expr] creates a compiled function that evaluates expr assuming numerical values of the x_i. Compile[{{x_1, t_1}, ...}, expr] assumes that x_i is of a ...
EllipticE[m] gives the complete elliptic integral E(m). EllipticE[\[Phi], m] gives the elliptic integral of the second kind E(\[Phi] \[VerticalSeparator] m).
Log
(Built-in Mathematica Symbol) Log[z] gives the natural logarithm of z (logarithm to base e). Log[b, z] gives the logarithm to base b.
Sec
(Built-in Mathematica Symbol) Sec[z] gives the secant of z.