Effective Borel-resummation by factorial series
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Publication:2372801
DOI10.5802/aif.2263zbMath1129.30023arXivmath/0602237OpenAlexW1549107294MaRDI QIDQ2372801
Jean-Marc Rasoamanana, Éric Delabaere
Publication date: 1 August 2007
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0602237
Abel, Borel and power series methods (40G10) Special methods of summability (40G99) Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30) Asymptotic representations in the complex plane (30E15)
Related Items (7)
Comparison between Borel-Padé summation and factorial series, as time integration methods ⋮ On the Borel summability of WKB solutions of certain Schrödinger-type differential equations ⋮ Summation of divergent power series by means of factorial series ⋮ Resurgence-summability of ramified formal series depending of a parameter and solutions of linear differential equations ⋮ Time integration algorithm based on divergent series resummation, for ordinary and partial differential equations ⋮ An inverse factorial series for a general gamma ratio and related properties of the Nørlund-Bernoulli polynomials ⋮ Large-Parameter Asymptotic Expansions for the Legendre and Allied Functions
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