Positivity problem of three-term recurrence sequences
Combinatorics
2023-01-06 v1
Abstract
We present some necessary and/or sufficient conditions for the positivity problem of three-term recurrence sequences. As applications we show the positivity of diagonal Taylor coefficients of some rational functions in a unified approach. We also establish a criterion for the positivity and log-convexity of such sequences.
Cite
@article{arxiv.2301.02054,
title = {Positivity problem of three-term recurrence sequences},
author = {Yanni Pei and Yaling Wang and Yi Wang},
journal= {arXiv preprint arXiv:2301.02054},
year = {2023}
}
Comments
13 pages