An application of a moment problem to completely monotonic functions
Classical Analysis and ODEs
2021-12-21 v1
Abstract
We consider the following question: if a function of the form is completely monotonic, is it then ? It turns out that the question is related to a moment problem. In the end we apply those results to answer some questions concerning complete monotonicity of certain functions raised in F. Qi and R. Agarwal, \textit{On complete monotonicity for several classes of functions related to ratios of gamma functions}, J. Inequal. Appl. (2019).
Keywords
Cite
@article{arxiv.2112.09966,
title = {An application of a moment problem to completely monotonic functions},
author = {Vladimir Jovanović and Milanka Treml},
journal= {arXiv preprint arXiv:2112.09966},
year = {2021}
}