On a conjecture of a logarithmically completely monotonic function
  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. 
Valmir Krasniqi and Armend Sh. Shabani
math.CA