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Generating functions, one of the most important tools in enumerative combinatorics, are a bridge between discrete mathematics and continuous analysis. Generating functions have numerous applications in mathematics, especially in - Combinatorics - Probability Theory - Statistics - Theory of Markov Chains - Number Theory One of the most important and relevant recent applications of combinatorics lies in the development of Internet search engines whose incredible capabilities dazzle even the mathematically trained user. [Publisher]

Generating functions. --- Combinatorial analysis. --- Fonctions génératrices. --- Analyse combinatoire.

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Generating functions --- Fonctions génératrices --- #KOPO:Prof. R. Holvoet --- Functions, Generating --- Combinatorial analysis --- Fonctions génératrices

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Functions, Special --- Fonctions spéciales --- Fonctions spéciales --- Fonctions spéciales. --- Functions, Special. --- Fonctions génératrices. --- Generating functions. --- Hypergeometric functions --- Fonctions hypergéométriques --- Fonctions génératrices. --- Fonctions hypergéométriques

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Stochastic processes --- Discrete mathematics --- Generating functions --- Lattice paths --- Young tableaux --- Hypergeometric series --- Séries hypergéométriques --- Young, Tableaux de --- Fonctions génératrices --- Tableaux, Young --- Partitions (Mathematics) --- Paths, Lattice --- Combinatorial probabilities --- Graph theory --- Lattice theory --- Gaussian hypergeometric series --- Gaussian series --- Gauss's series --- Series --- Hypergeometric functions --- Functions, Generating --- Combinatorial analysis --- Séries hypergéométriques. --- Young, Tableaux de. --- Fonctions génératrices.

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Mathematical analysis --- Combinatorial enumeration problems --- Linear operators --- Commutative rings --- Valuation theory --- 512 --- Generating functions --- #TCPW W7.0 --- Algebraic number theory --- Topological fields --- Linear maps --- Maps, Linear --- Operators, Linear --- Operator theory --- Functions, Generating --- Combinatorial analysis --- Rings (Algebra) --- Enumeration problems, Combinatorial --- Algebra --- Combinatorial enumeration problems. --- Commutative rings. --- Generating functions. --- Linear operators. --- Valuation theory. --- 512 Algebra --- Analyse combinatoire --- Fonctions génératrices --- Fonctions génératrices --- Analyse fonctionnelle --- Functional analysis --- Fonctions génératrices.