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Universal Padé Approximation

2011/02/23 by Nicholas J. Daras, Daras, Nicholas J., Vassili Nestoridis +1 · 1 citation
Mathematics · #30E10 #30K05 #30K99 #41A10 #41A20 #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Mathematical functions and polynomials #Meromorphic and Entire Functions #math.CV #msc:30B10 #msc:30E10 #msc:30K05 #msc:30K99 #msc:41A10 #msc:41A20 #msc:41A21 #primary 41A21 #secondary 30B10

paper · pdf · doi:10.48550/arxiv.1102.4782

27 pages

arxiv created 2011/02/23 · openalex publication_date 2011/02/23 · arxiv updated 2011/02/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In transferring some results from universal Taylor series to the case of Padé approximants we obtain stronger results, such as, universal approximation on compact sets of arbitrary connectivity and generic results on planar domains of any connectivity and not just on simply onnected domains.

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