Skip to main content
Article thumbnail
Location of Repository

A Complete Monotonicity of the Gamma Function

By Feng Qi and Chao-Ping Chen


The function 1/x ln Γ(x+1)−ln x+1 is strictly completely monotonic\ud on (0,∞)

Topics: 0101 Pure Mathematics, Research Group in Mathematical Inequalities and Applications (RGMIA), gamma function, psi function, completely monotonic function
Publisher: School of Communications and Informatics, Faculty of Engineering and Science, Victoria University of Technology
Year: 2004
OAI identifier:

Suggested articles


  1. (2002). A monotonicity property of the Γ-function,
  2. (2000). cari´ c, The best bounds in Gautschi’s inequality,
  3. (1987). Error bounds for asymptonic expansions of the ratio of two gamma functions,
  4. (1966). Formulas and Theorems for the Special Functions of
  5. (2000). Generalized abstracted mean values,
  6. (1998). Generalized weighted mean values with two parameters,
  7. (2001). Inequalities for generalized weighted mean values of convex function,
  8. (2003). Monotonicity and convexity results for functions involving the gamma function,
  9. (2002). Monotonicity results and inequalities for the gamma and incomplete gamma functions,
  10. (1985). Monotonicity results for the gamma function,
  11. (1999). Note on monotonicity of generalized weighted mean values,
  12. (1998). The function (bx−ax)/x: Inequalities and properties,

To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.