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generating function · Vinony

EntityQ860609· pop 27· linked from 374 articles

generating function

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formal power series with coefficients that encode information about a sequence

Connections

Fibonacci sequence

falling and rising factorial

binomial coefficient

rational function

recurrence relation

moment-generating function

Dirichlet series

closed-form expression

probability-generating function

Stirling number of the second kind

generalized continued fraction

International Standard Book Number

Pierre-Simon Laplace

differential equation

digital object identifier

Categories

1730 beginnings 1730s introductions Abraham de Moivre Generating functions

Sources

wikipedia.externallinksexternallink

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What links here374 pages

formal power series

binomial transform

incidence algebra

Bell polynomials

Fibonacci sequence

binomial coefficient

Dirichlet series

Chebyshev polynomial

affine symmetric group

Grandi's series

moment-generating function

enumerative combinatorics

combinatorial species

Bernoulli number

generalized hypergeometric function

central binomial coefficient

1 − 2 + 3 − 4 + · · ·

Bernoulli polynomials

Stirling number of the second kind