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Generic Approximation of functions by their padé approximants, I

2011/03/20 by Fournodavlos, G.
#30E10 #30K05 #30K99 #41A10 #41A20 #Complex Variables (math.CV) #FOS: Mathematics #primary 41A21 #secondary 30B10

paper · doi:10.48550/arxiv.1103.3841

Abstract

Approximation of entire functions by their padé approximants has been examined in the past. It is true that generically such an approximation holds. However, examining this problem from another viewpoint, we obtain stronger generic results on functions defined on simply connected domains or even open sets of arbitrary connectivity.

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