On a conjecture of a logarithmically completely monotonic function

2016/01/01 by Krasniqi, Valmir, Shabani, Armend Sh.
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1601.00124

Abstract

In this short note we prove a conjecture for the interval (0,1), related to a logarithmically completely monotonic function, presented in \citeBG. 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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