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On the ambiguity of functions represented by divergent power series

Result description

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.

Keywords

divergent perturbation seriescurvilinear integrals

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    On the ambiguity of functions represented by divergent power series

  • Original language description

    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.

  • Czech name

  • Czech description

Classification

  • Type

    Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BF - Elementary particle theory and high energy physics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2010

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Applied Numerical Mathematics

  • ISSN

    0168-9274

  • e-ISSN

  • Volume of the periodical

    60

  • Issue of the periodical within the volume

    12

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    9

  • Pages from-to

  • UT code for WoS article

    000284082300009

  • EID of the result in the Scopus database

Basic information

Result type

Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

Jx

CEP

BF - Elementary particle theory and high energy physics

Year of implementation

2010