An inequality involving the gamma and digamma functions
نویسندگان
چکیده
منابع مشابه
Complete Monotonicities of Functions Involving the Gamma and Digamma Functions
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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ژورنال
عنوان ژورنال: Journal of Applied Analysis
سال: 2016
ISSN: 1425-6908,1869-6082
DOI: 10.1515/jaa-2016-0005