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Sommation effective d'une somme de Borel par séries de factorielles

Abstract : We consider the effective resummation of a Borel sum by its associated factorial series expansion. Our approach provides concrete estimates for the remainder term when truncating this factorial series. We then generalize a theorem of Nevanlinna which gives us the natural framework to extend the factorial series method for Borel-resummable fractional power series expansions.
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Contributor : Eric Delabaere <>
Submitted on : Saturday, February 11, 2006 - 9:42:45 AM
Last modification on : Monday, March 9, 2020 - 6:15:51 PM
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Eric Delabaere, Jean-Marc Rasoamanana. Sommation effective d'une somme de Borel par séries de factorielles. 2006. ⟨hal-00018887⟩



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