The rate of convergence of Pad\'e approximants for some elementary functions
Sbornik. Mathematics, Tome 35 (1979) no. 5, pp. 615-629

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In this paper, using an approximation method developed by V. K. Dzyadyk, the authors study the rate of convergence to zero of the difference between the functions $e^z$ and $(1+z)^\alpha$, and the corresponding Padé approximants. Bibliography: 28 titles.
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     author = {V. K. Dzyadyk and L. I. Filozof},
     title = {The rate of convergence of {Pad\'e} approximants for some elementary functions},
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     volume = {35},
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     year = {1979},
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V. K. Dzyadyk; L. I. Filozof. The rate of convergence of Pad\'e approximants for some elementary functions. Sbornik. Mathematics, Tome 35 (1979) no. 5, pp. 615-629. http://geodesic.mathdoc.fr/item/SM_1979_35_5_a1/