Počet záznamů: 1

On the ambiguity of functions represented by divergent power series

  1. 1.
    0353099 - FZU-D 2011 RIV NL eng J - Článek v odborném periodiku
    Caprini, I. - Fischer, Jan - Vrkoč, Ivo
    On the ambiguity of functions represented by divergent power series.
    Applied Numerical Mathematics. Roč. 60, č. 12 (2010), s. 1264-1272 ISSN 0168-9274.
    [Conference on Approximation and Extrapolation of Convergent and Divergent Sequences and Series. Luminy, 28.09.2009-02.10.2009]
    Výzkumný záměr: CEZ:AV0Z10100502; CEZ:AV0Z10190503
    Klíčová slova: divergent perturbation series * curvilinear integrals
    Kód oboru RIV: BF - Elementární částice a fyzika vys. energií
    Impakt faktor: 0.919, rok: 2010

    Assuming the asymptotic character of divergent perturbation series, we address the problem of ambiguity of a function determined by an asymptotic power expansion. We consider integrals of the Laplace-Borel type, with a curvilinear integration contour. This paper is a continuation of results recently obtained by us in J.Phys. A42 395403, 2009. Estimates on the remainders are obtained for different contours. Methods of reducing the ambiguity are discussed.
    Trvalý link: http://hdl.handle.net/11104/0192439
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