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On a conjecture of a logarithmically completely monotonic function

Published 1 Jan 2016 in math.CA | (1601.00124v1)

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.

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