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

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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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Complex Variables, 30E15; 40Gxx

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http://salesiana.dossiersoluciones.com/handle/123456789/108930

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0602237
 http://arxiv.org/abs/math/0602237

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arXiv