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Generating functions --- Integral representations

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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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STATISTICAL HYPOTHESES TESTING --- GENERATING FUNCTIONS --- ESTIMATION[STATISTICAL-] --- VARIANCE[ANALYSIS OF] --- STATISTICS[NON PARAMETRIC-] --- Probability --- Random variables --- STATISTICS[PROBLEMS SOLVED] --- DISTRIBUTIONS[PROBABILITY-] --- PROBLEMS SOLVED IN STATISTICS --- Mathematical statistics