Universal Padé approximants with respect to the chordal metric

DOI10.3103/S1068362312040024zbMath1302.41021MaRDI QIDQ470330

Vassilis Nestoridis

Publication date: 12 November 2014

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

zbMATH Keywords

Padé approximantsuniversalitychordal metricholomorphic functionsmeromorphic functionsspherical approximationbaire's theorem

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Approximation in the complex plane (30E10) Padé approximation (41A21) Approximation by polynomials (41A10) Universal holomorphic functions of one complex variable (30K99) Universal Taylor series in one complex variable (30K05)

Related Items (6)

Universal Padé approximants of Seleznev type ⋮ Padé approximants, density of rational functions in \(A^\infty(\varOmega)\) and smoothness of the integration operator ⋮ Generic properties of Padé approximants and Padé universal series ⋮ Universal Padé approximants and their behaviour on the boundary ⋮ Concurrent universal Padé approximation ⋮ Common universal meromorphic functions for translation and dilation mappings

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