Simultaneous Universal Padé Approximation

preprint2015arXivOpen access

Abstract

We prove simultaneous universal Padé approximation for several universal Padé 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∞A^{\infty}. These results are valid for one center of expansion or for several centers as well.

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