%0 Journal Article %T An integral representation of the Catalan numbers %A Fang-Fang Liu %A Feng Qi %A Xiao-Ting Shi %J - %D 2015 %R 10.14419/gjma.v3i3.5055 %X In the paper, the authors establish an integral representation of the Catalan numbers, connect the Catalan numbers with the (logarithmically) complete monotonicity, and pose an open problem on the logarithmically complete monotonicity of a function involving ratio of gamma functions. %U https://www.sciencepubco.com/index.php/GJMA/article/view/5055