An integral representation of the Catalan numbers | Zendy

Xiao-Ting Shi | Zendy; Fang-Fang Liu | Zendy; Feng Qi | Zendy

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An integral representation of the Catalan numbers

Author(s) -

Xiao-Ting Shi,

Fang-Fang 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.

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