On the ambiguity of functions represented by divergent power series

0353099 - FZÚ 2011 RIV NL eng J - Journal Article
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. E-ISSN 1873-5460.
[Conference on Approximation and Extrapolation of Convergent and Divergent Sequences and Series. Luminy, 28.09.2009-02.10.2009]
Institutional research plan: CEZ:AV0Z10100502; CEZ:AV0Z10190503
Keywords : divergent perturbation series * curvilinear integrals
Subject RIV: BF - Elementary Particles and High Energy Physics
Impact factor: 0.919, year: 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.
Permanent Link: http://hdl.handle.net/11104/0192439