An integral representation of Catalan numbers using the Féaux formula

2024/10/31 by Pain, Jean-Christophe
#Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2410.23787

Abstract

We present an integral expression of the Catalan numbers, based on Féaux' integral representation of log[Γ(x)], Γ being the usual Gamma function. The obtained formula may be the starting point of the derivation of new relations involving central binomial coefficients or Catalan numbers.

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