Abstract
Three different ways of proving the convergence of close-to-diagonal sequences of Padé approximants to functions with branch points are compared. It is assumed that the functions to be approximated have all their singularities in a compact set of capacity zero.
Keywords
- Riemann Surface
- Branch Point
- Orthogonal Polynomial
- Integration Path
- Quadratic Differential
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Research supported in part by Natural Sciences and Engineering Research Council Canada.
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© 1987 Springer-Verlag
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Stahl, H. (1987). Three different approaches to a proof of convergence for Padé approximants. In: Gilewicz, J., Pindor, M., Siemaszko, W. (eds) Rational Approximation and its Applications in Mathematics and Physics. Lecture Notes in Mathematics, vol 1237. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072458
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DOI: https://doi.org/10.1007/BFb0072458
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