A logarithmically completely monotonic function involving the gamma function and originating from the Catalan numbers and function

  • Authors

    • Fang-Fang Liu Department of Mathematics, College of Science, Tianjin Polytechnic University,Tianjin City, 300160, China
    • Xiao-Ting Shi Department of Mathematics, College of Science, Tianjin Polytechnic University,Tianjin City, 300160, China
    • Feng Qi Department of Mathematics, College of Science, Tianjin Polytechnic University,Tianjin City, 300160, China http://orcid.org/0000-0001-6239-2968
    2015-09-08
    https://doi.org/10.14419/gjma.v3i4.5187
  • Necessary Condition, Sufficient Condition, Logarithmically Completely Monotonic Function, Gamma Function, Catalan Number, Catalan Function.
  • In the paper, the authors find necessary conditions and sufficient conditions for a function involving the gamma function and originating from investigation of properties of the Catalan numbers and function in combinatorics to be logarithmically completely monotonic.

  • References

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    Liu, F.-F., Shi, X.-T., & Qi, F. (2015). A logarithmically completely monotonic function involving the gamma function and originating from the Catalan numbers and function. Global Journal of Mathematical Analysis, 3(4), 140-144. https://doi.org/10.14419/gjma.v3i4.5187