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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/108930We 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.Complex Variables30E15; 40GxxSommation effective d'une somme de Borel par séries de factoriellestext