Počet záznamů: 1
On the ambiguity of functions represented by divergent power series
- 1.0353099 - FZÚ 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. E-ISSN 1873-5460.
[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
Počet záznamů: 1