On the complete monotonicity of quotient of gamma functions

Yi Chao Chen, Toufik Mansour, Qian Zou

Research output: Contribution to journalArticlepeer-review


In this paper, we concern with a conjecture involving the ratio of two gamma functions posed by Qi, Guo and Chen [Math. Inequal. Appl. 9(3)(2006), 427-436]. We also generalize a result of Qi [Theorem 2, J. Comput. Appl. Math. 214 (2008), 610-616].

Original languageEnglish
Pages (from-to)395-402
Number of pages8
JournalMathematical Inequalities and Applications
Issue number2
StatePublished - Apr 2012


  • Completely monotonic function
  • Gamma function
  • Logarithmically completely monotonic function
  • Psi function

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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