Complete Monotonicities of Functions Involving the Gamma and Digamma Functions

@inproceedings{Guo2004CompleteMO,
  title={Complete Monotonicities of Functions Involving the Gamma and Digamma Functions},
  author={Feng Guo},
  year={2004}
}
In the article, the completely monotonic results of the functions [Γ(x + 1)]1/x, [Γ(x+α+1)]1/(x+α) [Γ(x+1)]1/x , [Γ(x+1)]1/x (x+1)α and [Γ(x+1)]1/x xα in x ∈ (−1,∞) for α ∈ R are obtained. In the final, three open problems are posed. 
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