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# 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} }

- Published 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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