Assuming[assum, expr] evaluates expr with assum appended to $Assumptions, so that assum is included in the default assumptions used by functions such as Refine, Simplify, and ...
Boole
(Built-in Mathematica Symbol) Boole[expr] yields 1 if expr is True and 0 if it is False.
ByteCount[expr] gives the number of bytes used internally by Mathematica to store expr.
CarmichaelLambda[n] gives the Carmichael function \[Lambda](n), defined as the smallest integer m such that k^m \[Congruent] 1 mod n for all k relatively prime to n.
CellMargins is an option for Cell that specifies the absolute margins in printer's points to leave around a cell.
Erfi
(Built-in Mathematica Symbol) Erfi[z] gives the imaginary error function erf(i z)/i.
HypergeometricU[a, b, z] is the confluent hypergeometric function U(a, b, z).
Inner
(Built-in Mathematica Symbol) Inner[f, list_1, list_2, g] is a generalization of Dot in which f plays the role of multiplication and g of addition.
InverseFourierCosTransform[expr, \[Omega], t] gives the symbolic inverse Fourier cosine transform of expr. InverseFourierCosTransform[expr, {\[Omega]_1, \[Omega]_2, \ ...}, ...
InverseFourierSinTransform[expr, \[Omega], t] gives the symbolic inverse Fourier sine transform of expr. InverseFourierSinTransform[expr, {\[Omega]_1, \[Omega]_2, \ ...}, ...