Positivity of arbitrary-order P-recursive sequences with a unique dominant root
Combinatorics
2026-05-19 v1
Abstract
We establish a sufficient condition for the ultimate positivity of P-recursive sequences of arbitrary order with a unique dominant root. By additionally verifying finitely many initial terms, the positivity can also be resolved. As an application, we provide several examples of P-recursive sequences of order greater than two.
Cite
@article{arxiv.2605.17013,
title = {Positivity of arbitrary-order P-recursive sequences with a unique dominant root},
author = {Zhongjie Li},
journal= {arXiv preprint arXiv:2605.17013},
year = {2026}
}