An integral representation of the Catalan numbers
DOI:
https://doi.org/10.14419/gjma.v3i3.5055الكلمات المفتاحية:
Catalan Number، Integral Representation، Complete Monotonicity، Logarithmically Complete Monotonicity، Open Problemالملخص
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.
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