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arxiv: 1506.01363 · v1 · pith:IFKG5LBMnew · submitted 2015-06-03 · 🧮 math.CV

Simultaneous Universal Pad\'e Approximation

classification 🧮 math.CV
keywords severaluniversalapproximationresultssimultaneousspacewellapproximants
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We prove simultaneous universal Pad\'{e} approximation for several universal Pad\'{e} approximants of several types. Our results are generic in the space of holomorphic functions, in the space of formal power series as well as in a subspace of $A^{\infty}$. These results are valid for one center of expansion or for several centers as well.

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