English

Inverse results on row sequences of Hermite-Pad\'e approximation

Complex Variables 2017-02-12 v1

Abstract

We consider row sequences of (type II) Hermite-Pad\'e approximations with common denominator associated with a vector f{\bf f} of formal power expansions about the origin. In terms of the asymptotic behavior of the sequence of common denominators, we describe some analytic properties of f{\bf f} and restate some conjectures corresponding to questions once posed by A. A. Gonchar for row sequences of Pad\'e approximants.

Cite

@article{arxiv.1701.04797,
  title  = {Inverse results on row sequences of Hermite-Pad\'e approximation},
  author = {G. López Lagomasino and Y. Zaldivar Gerpe},
  journal= {arXiv preprint arXiv:1701.04797},
  year   = {2017}
}

Comments

19 pages. arXiv admin note: text overlap with arXiv:1502.03958

R2 v1 2026-06-22T17:52:28.060Z