GeneratingFunction[expr, n, x] gives the generating function in x for the sequence whose n\[Null]^th series coefficient is given by the expression ...

Mathematica provides broad coverage of both numeric and symbolic Fourier analysis, supporting all standard forms of Fourier transforms on data, functions, and sequences, in ...

With origins stretching back several centuries, discrete calculus is now an increasingly central methodology for many problems related to discrete systems and algorithms. ...

Fibonacci[n] gives the Fibonacci number F_n. Fibonacci[n, x] gives the Fibonacci polynomial F_n (x).

FindSequenceFunction[{a_1, a_2, a_3, ...}] attempts to find a simple function that yields the sequence a_n when given successive integer arguments.FindSequenceFunction[{{n_1, ...

NeedlemanWunschSimilarity[u, v] gives a number representing the Needleman\[Dash]Wunsch similarity between strings or vectors u and v.

FourierSequenceTransform[expr, n, \[Omega]] gives the Fourier sequence transform of expr.FourierSequenceTransform[expr, {n_1, n_2, ...}, {\[Omega]_1, \[Omega]_2, ...}] gives ...

DifferenceRootReduce[expr, n] attempts to reduce expr to a single DifferenceRoot object as a function of n.

FindGeneratingFunction[{a_1, a_2, ...}, x] attempts to find a simple generating function in x whose n\[Null]^th series coefficient is a_n.FindGeneratingFunction[{{n_1, a_1}, ...

expr_1; expr_2; ... evaluates the expr_i in turn, giving the last one as the result.