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An integral representation of Catalan numbers using Malmst\'en's formula by Pain, Jean-Christophe is a scholarly article available to read on EtoBox.

What is An integral representation of Catalan numbers using Malmst\'en's formula about?

In this article, we propose an integral expression of the Catalan numbers, based on Malmst\'en's definite-integral representation of $\ln\left[\Gamma(x)\right]$, $\Gamma$ being the usual Gamma function. The obtained expression is likely to yield new summations involving Catalan numbers or central binomial coefficients.

Author

Pain, Jean-Christophe

Published

2024

Language

EN