DivisorSum[n, form] represents the sum of form[i] for all i that divide n.DivisorSum[n, form, cond] includes only those divisors for which cond[i] gives True.
GeneratingFunction[expr, n, x] gives the generating function in x for the sequence whose n\[Null]^th series coefficient is given by the expression ...
DifferenceRoot[lde] represents a function that solves the linear difference equation specified by lde[a, n].
Pochhammer[a, n] gives the Pochhammer symbol (a) n.
NegativeMultinomialDistribution[n, p] represents a negative multinomial distribution with parameter n and failure probability vector p.
DirichletConvolve[f, g, n, m] gives the Dirichlet convolution of the expressions f and g.
FisherZDistribution[n, m] represents a Fisher z distribution with n numerator and m denominator degrees of freedom.
FourierSequenceTransform[expr, n, \[Omega]] gives the Fourier sequence transform of expr.FourierSequenceTransform[expr, {n_1, n_2, ...}, {\[Omega]_1, \[Omega]_2, ...}] gives ...
With careful standardization of argument conventions, Mathematica provides full coverage of all standard types of elliptic functions, with arbitrary-precision numerical ...
ExponentialGeneratingFunction[expr, n, x] gives the exponential generating function in x for the sequence whose n\[Null]^th term is given by the expression ...