Meromorphic continuation of functions and arbitrary distribution of interpolation points

  1. Bello Hernández, M. 1
  2. De la Calle Ysern, B. 2
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  2. 2 Universidad Politécnica de Madrid
    info

    Universidad Politécnica de Madrid

    Madrid, España

    ROR https://ror.org/03n6nwv02

Revue:
Journal of Mathematical Analysis and Applications

ISSN: 0022-247X

Année de publication: 2013

Volumen: 403

Número: 1

Pages: 107-119

Type: Article

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DOI: 10.1016/J.JMAA.2013.02.014 SCOPUS: 2-s2.0-84875593823 WoS: WOS:000317255800011 arXiv: 1211.5573v1 GOOGLE SCHOLAR lock_openAccès ouvert editor

D'autres publications dans: Journal of Mathematical Analysis and Applications

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Résumé

We characterize the region of meromorphic continuation of an analytic function f in terms of the geometric rate of convergence on a compact set of sequences of multi-point rational interpolants of f. The rational approximants have a bounded number of poles and the distribution of interpolation points is arbitrary. © 2013 Elsevier Ltd.