An integral representation of the Catalan numbers

  • Authors

    • Xiao-Ting Shi Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin City, 300387, China
    • Fang-Fang Liu Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin City, 300387, China
    • Feng Qi Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin City, 300387, China http://orcid.org/0000-0001-6239-2968
    2015-08-18
    https://doi.org/10.14419/gjma.v3i3.5055
  • Catalan Number, Integral Representation, Complete Monotonicity, Logarithmically Complete Monotonicity, Open Problem

  • 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.

  • References

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  • How to Cite

    Shi, X.-T., Liu, F.-F., & Qi, F. (2015). An integral representation of the Catalan numbers. Global Journal of Mathematical Analysis, 3(3), 130-133. https://doi.org/10.14419/gjma.v3i3.5055

    Received date: 2015-07-09

    Accepted date: 2015-08-16

    Published date: 2015-08-18