A Borel Transform Method for Locating Singularities of Taylor and Fourier Series

Author:

Pauls W.,Frisch U.

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference48 articles.

1. S. Pincherle, Sulla risoluzione dell’equazione funzionale ∑ h νϕ(x+αν)=f(x) a coefficienti costanti, Memorie della R. Academia delle scienze dell’Istituto di Bologna Serie IV IX:45–71 (1888). French translation: Acta Mathematica. 48:279–304 (1926).

2. E. Borel, Mémoire sur les séries divergentes. Ann. Sci. ’Ecole Normale Sup. 16:9–131 (1899). http://www.numdam.org/item?id=ASENS_1899_3_16_9_0

3. E. Borel, Leçons sur les Séries Divergentes, (Gauthier-Villars, reprinted by Éditions Jacques Gabay, Paris, 1928).

4. J. C. Le Guillou and J. Zinn-Justin (eds.), Large-Order Behaviour of Perturbation Theory (North-Holland, Amsterdam, 1990).

5. B. Shawyer and B. Watson, Borel’s Method of Summability. (Oxford U.P., Oxford, 1994).

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