Symbolic method (combinatorics): Difference between revisions

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In mathematics, '''analytic combinatorics''' is one of the many techniques of [[enumerative combinatorics|counting combinatorial objects]]. It uses the internal structure of the objects to derive formulas for their [[generating function]]s, and then, it uses complex analysis techniques to get asymptotics. This particular theory was mostly developpeddeveloped by [[Philippe Flajolet]],
and is detailleddetailed in his book with [[Robert Sedgewick (computer scientist)|Robert Sedgewick]], ''Analytic Combinatorics''.
Many precursors of these ideas can be listed, among which [[Leonhard Euler]], [[Arthur Cayley]], [[Srinivasa Ramanujan]], [[George Pólya]], [[Donald Knuth]],...