Abstract
We consider multipoints rational approximants of a function f analytic near zero, with arbitrary poles αi. We show that the choice of \(1\sqrt \alpha _i\) as interpolation points, leads to a sequence of approximants which converges uniformly and geometrically to £.
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References
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© 1984 Springer-Verlag
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van Iseghem, J. (1984). Multipoints rational approximants. In: Werner, H., Bünger, H.J. (eds) Padé Approximation and its Applications Bad Honnef 1983. Lecture Notes in Mathematics, vol 1071. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099616
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DOI: https://doi.org/10.1007/BFb0099616
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