English

Higher order recurrences and row sequences of Hermite-Pad\'e approximation

Complex Variables 2018-01-10 v1

Abstract

We obtain extensions of the Poincar\'e and Perron theorems for higher order recurrence relations and apply them to obtain an inverse type theorem for row sequences of (type II) Hermite-Pad\'e approximation of a vector of formal power series.

Keywords

Cite

@article{arxiv.1801.02650,
  title  = {Higher order recurrences and row sequences of Hermite-Pad\'e approximation},
  author = {G. López Lagomasino and Y. Zaldivar Gerpe},
  journal= {arXiv preprint arXiv:1801.02650},
  year   = {2018}
}

Comments

14 pages

R2 v1 2026-06-22T23:39:44.235Z