Meromorphic continuation of functions and arbitrary distribution of interpolation points
- Bello Hernández, M. 1
- De la Calle Ysern, B. 2
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1
Universidad de La Rioja
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2
Universidad Politécnica de Madrid
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ISSN: 0022-247X
Any de publicació: 2013
Volum: 403
Número: 1
Pàgines: 107-119
Tipus: Article
Altres publicacions en: Journal of Mathematical Analysis and Applications
Resum
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.