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

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

2006-02-11

arxiv.org/abs/math/0602237v1

Mathematics

Complex Variables

Scientific paper

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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