English

Simultaneous Universal Pad\'e Approximation

Complex Variables 2015-06-04 v1

Abstract

We prove simultaneous universal Pad\'{e} approximation for several universal Pad\'{e} approximants of several types. Our results are generic in the space of holomorphic functions, in the space of formal power series as well as in a subspace of AA^{\infty}. These results are valid for one center of expansion or for several centers as well.

Keywords

Cite

@article{arxiv.1506.01363,
  title  = {Simultaneous Universal Pad\'e Approximation},
  author = {K. Makridis and V. Nestoridis},
  journal= {arXiv preprint arXiv:1506.01363},
  year   = {2015}
}

Comments

arXiv admin note: text overlap with arXiv:1503.02856

R2 v1 2026-06-22T09:46:48.753Z