Open AccessAn integral representation of the Catalan numbers
Author(s) -
Xiaoting Shi,
Fangfang Liu,
Feng Qi
Publication year - 2015
Publication title -
global journal of mathematical analysis
Language(s) - English
Resource type - Journals
ISSN - 2307-9002
DOI - 10.14419/gjma.v3i3.5055
Subject(s) - monotonic function , catalan number , catalan , span (engineering) , mathematics , representation (politics) , function (biology) , combinatorics , discrete mathematics , mathematical analysis , humanities , philosophy , evolutionary biology , politics , law , political science , biology , civil engineering , engineering
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.