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- W2015637480 abstract "We study the following problem. Given a domainΩcontaining infinity, is it possible to choose a sequence of polynomialsQn,n=1, 2, ..., whereQnhas degreen, so that the following condition holds: if a functionfis analytic inΩandPnis the polynomial part of the Laurent expansion ofQnfat infinity, thenPn/Qnconverges tof, asntends to infinity, uniformly on bounded closed subsets ofΩ? We get a complete solution of this problem whenΩis regular for Dirichlet's problem. For irregular domains we obtain some results having independent interest but a main problem remains open: is it possible to find such polynomialsQnfor some irregular domainsΩ?" @default.
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- W2015637480 date "1997-05-01" @default.
- W2015637480 modified "2023-09-27" @default.
- W2015637480 title "Convergence of Rational Interpolants with Preassigned Poles" @default.
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- W2015637480 doi "https://doi.org/10.1006/jath.1997.3040" @default.
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