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Science Publishing Corporation, Global Journal of Mathematical Analysis, 3(3), p. 130

DOI: 10.14419/gjma.v3i3.5055

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An integral representation of the Catalan numbers

Journal article published in 2015 by Xiao-Ting Shi, Fang Liu, Feng Qi ORCID
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

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.