I'm afraid my math in this area is a bit deficient, but what I am trying to do is see if there's a way to simplify the function: but I never really learned how to manipulate factorials algebraically, ...

Anderson and Qiu (1997) conjectured that the function log Γ (x+1)/x log x is concave for x > 1. In this paper we prove this conjecture. We also study the monotonicity of some functions connected with ...