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On the ambiguity of functions represented by divergent power series
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SYSNO ASEP 0353099 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title On the ambiguity of functions represented by divergent power series Author(s) Caprini, I. (RO)
Fischer, Jan (FZU-D) RID
Vrkoč, Ivo (MU-W) RID, SAISource Title Applied Numerical Mathematics. - : Elsevier - ISSN 0168-9274
Roč. 60, č. 12 (2010), s. 1264-1272Number of pages 9 s. Action Conference on Approximation and Extrapolation of Convergent and Divergent Sequences and Series Event date 28.09.2009-02.10.2009 VEvent location Luminy Country FR - France Event type EUR Language eng - English Country NL - Netherlands Keywords divergent perturbation series ; curvilinear integrals Subject RIV BF - Elementary Particles and High Energy Physics CEZ AV0Z10100502 - FZU-D (2005-2011) AV0Z10190503 - MU-W (2005-2011) UT WOS 000284082300009 DOI 10.1016/j.apnum.2010.07.008 Annotation 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. Workplace Institute of Physics Contact Kristina Potocká, potocka@fzu.cz, Tel.: 220 318 579 Year of Publishing 2011
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