Titlebook: G-Functions and Geometry; A Publication of the Yves André Book 1989 Springer Fachmedien Wiesbaden 1989 Algebra.Arithmetik.Differentialgleic

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Mawkish

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SPASM

泰然自若

https://doi.org/10.1007/978-3-658-06991-9volving Hermite-Padé approximants. We refer the reader to [63] for an extensive survey on this theory; however we shall use only very elementary facts from it, so that our exposition remains self-contained.

温和女人

温和女人

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Geometric Differential Equationsper smooth varieties defined over Φ̄(x) .We study the stability of this class of differential equations under standard operations and show that their solutions in Φ̄[[x]] form a Φ̄-vector space stable under Cauchy and Hadamard products (making use of Hodge theory). We shall show in chapter 5 that such solutions are indeed G-functions.

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Dysplasia

https://doi.org/10.1007/978-3-658-23658-8We record here all the properties of p-adic analytic functions (and prove some of them) which will be used in the sequel of the book. We refer the reader to the general introduction [41], or to the more advanced booklet [26]. Everything becomes simpler if one restricts oneself, as we shall do, to the case of disks.