Popa's "Recurrent Sequences" and Reciprocity
Classical Analysis and ODEs
2025-06-24 v3 Discrete Mathematics
Combinatorics
Number Theory
Abstract
Dumitru Popa found asymptotic expansions for certain nonlinear recurrences, but left open the numerical evaluation of associated constants. We address this issue. A change of variables involving reciprocals and the algorithm of Mavecha & Laohakosol play a key role in our computations.
Cite
@article{arxiv.2412.11806,
title = {Popa's "Recurrent Sequences" and Reciprocity},
author = {Steven Finch},
journal= {arXiv preprint arXiv:2412.11806},
year = {2025}
}
Comments
16 pages