Pochhammer (Built-in Mathematica Symbol)

Pochhammer[a, n] gives the Pochhammer symbol (a) n.

BellB (Built-in Mathematica Symbol)

BellB[n] gives the Bell number B_n. BellB[n, x] gives the Bell polynomial B_n (x).

Functional Iteration (Mathematica Guide)

Long used in its simplest form in mathematics, functional iteration is an elegant way to represent repeated operations. Mathematica's symbolic architecture makes powerful ...

DivisorSigma (Built-in Mathematica Symbol)

DivisorSigma[k, n] gives the divisor function \[Sigma]_k (n).

HarmonicNumber (Built-in Mathematica Symbol)

HarmonicNumber[n] gives the n\[Null]^th harmonic number H_n. HarmonicNumber[n, r] gives the harmonic number H_n^(r) of order r.

DominatingIntegerPartitionQ (Combinatorica Package Symbol)

DominatingIntegerPartitionQ[a, b] yields True if integer partition a dominates integer partition b, that is, the sum of a size-t prefix of a is no smaller than the sum of a ...

GenerateConditions (Built-in Mathematica Symbol)

GenerateConditions is an option for Integrate, Sum, and similar functions that specifies whether explicit conditions on parameters should be generated in the result.

PlayRange (Built-in Mathematica Symbol)

PlayRange is an option for Play and related functions which specifies what range of sound amplitude levels should be included.

AppendTo (Built-in Mathematica Symbol)

AppendTo[s, elem] appends elem to the value of s, and resets s to the result.

PrependTo (Built-in Mathematica Symbol)

PrependTo[s, elem] prepends elem to the value of s, and resets s to the result.