Meromorphic continuation of functions and arbitrary distribution of interpolation points

DOI10.1016/j.jmaa.2013.02.014zbMath1293.30072arXiv1211.5573OpenAlexW2592254975MaRDI QIDQ394930

Manuel Bello-Hernández, Bernardo de la Calle Ysern

Publication date: 28 January 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.5573

zbMATH Keywords

meromorphic continuationlogarithmic potentialexact rate of convergenceMontessus de Ballore's theoremmulti-point Padé approximationsequences of multi-point rational interpolants

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Analytic continuation of functions of one complex variable (30B40)

Related Items (4)

Overconvergence of Rational Approximants of Meromorphic Functions ⋮ Exact maximal convergence in capacity and zero distribution of rational approximants ⋮ The Jentzsch-Szegő theorem and balayage measures ⋮ Rate of convergence of row sequences of multipoint Padé approximants

Cites Work

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• An extension of Saff's theorem on the convergence of interpolating rational functions
• Distribution of interpolation points
• The convergence of sequences of rational functions of best approximation
• An extension of Montessus de Ballore's theorem on the convergence of interpolating rational functions
• POLES OF ROWS OF THE PADÉ TABLE AND MEROMORPHIC CONTINUATION OF FUNCTIONS
• ON A THEOREM OF SAFF
• ON THE CONVERGENCE OF GENERALIZED PADÉ APPROXIMANTS OF MEROMORPHIC FUNCTIONS
• ON THE CONVERGENCE OF THE PADÉ APPROXIMANTS OF MEROMORPHIC FUNCTIONS
• Regions of Meromorphy Determined by the Degree of Best Rational Approximation
• Potential theory

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