English

On a conjecture of a logarithmically completely monotonic function

Classical Analysis and ODEs 2016-01-05 v1

Abstract

In this short note we prove a conjecture for the interval (0,1)(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 qq-Digamma function.

Keywords

Cite

@article{arxiv.1601.00124,
  title  = {On a conjecture of a logarithmically completely monotonic function},
  author = {Valmir Krasniqi and Armend Sh. Shabani},
  journal= {arXiv preprint arXiv:1601.00124},
  year   = {2016}
}
R2 v1 2026-06-22T12:21:33.132Z