Extension of complete monotonicity results involving the digamma function
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: Moroccan Journal of Pure and Applied Analysis
سال: 2018
ISSN: 2351-8227
DOI: 10.1515/mjpaa-2018-0016