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Preprints, Working Papers, ... Year : 2006

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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Dates and versions

hal-00018887 , version 1 (11-02-2006)

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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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