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

Eric Delabaere·Jean-Marc Rasoamanana
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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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Eric Delabaere, Jean-Marc Rasoamanana. 2006-02-11. Sommation effective d'une somme de Borel par séries de factorielles. https://arxiv.org/abs/math/0602237

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