On a conjecture of a logarithmically completely monotonic function

zbMATH Open1297.33013arXiv1601.00124MaRDI QIDQ5494794

Valmir Krasniqi, Armend Sh. Shabani

Publication date: 30 July 2014

Abstract: In this short note we prove a conjecture for the interval $(0,1)$, related to a logarithmically completely monotonic function, presented in cite{BG}. Then, we extend by proving a more generalized theorem. At the end we pose an open problem on a logarithmically completely monotonic function involving $q$-Digamma function.

Full work available at URL: https://arxiv.org/abs/1601.00124

zbMATH Keywords

completely monotoniclogarithmically completely monotonic

Mathematics Subject Classification ID

(q)-gamma functions, (q)-beta functions and integrals (33D05) Inequalities involving other types of functions (26D07)

Related Items (3)

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