A Theorem on the Convergence of Padé Approximants |
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Authors: | George A. Baker |
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Abstract: | We prove a theorem which gives necessary and sufficient conditions on the distribution of poles and zeros of the Padé approximants for point-by-point convergence. The special case of convergence to a function meromorphic in a disk by a sequence of Padé approximants free of extraneous poles and zeros is proven. |
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