Popa's "Recurrent Sequences" and Reciprocity
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- December 2024
- DOI:
- arXiv:
- arXiv:2412.11806
- Bibcode:
- 2024arXiv241211806F
- Keywords:
-
- Mathematics - Classical Analysis and ODEs;
- Computer Science - Discrete Mathematics;
- Mathematics - Combinatorics;
- Mathematics - Number Theory;
- 39A20 (Primary) 11B37;
- 26A18;
- 37E05;
- 41A60;
- 65D20 (Secondary)
- E-Print:
- 16 pages