rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: From divergent power series to analytic functions
    sub title: theory and application of multisummable power series
  name:
    name part: Balser, Werner
    name part: 1946-
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: gw
    date issued: 1994
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (x, 106 pages) : illustrations.
  abstract: Multisummability is a method which, for certain formal power series with radius of convergence equal to zero, produces an analytic function having the formal series as its asymptotic expansion. This book presents the theory of multisummabi- lity, and as an application, contains a proof of the fact that all formal power series solutions of non-linear meromorphic ODE are multisummable. It will be of use to graduate students and researchers in mathematics and theoretical physics, and especially to those who encounter formal power series to (physical) equations with rapidly, but regularly, growing coefficients.
  table of contents: 1. Asymptotic Power Series -- 2. Laplace and Borel Transforms -- 3. Summable Power Series -- 4. Cauchy-Heine Transform -- 5. Acceleration Operators -- 6. Multisummable Power Series -- 7. Some Equivalent Definitions of Multisummability -- 8. Formal Solutions to Non-Linear ODE.
  note: Werner Balser.
  note: Electronic resource.
  note: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL
  note: digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL
  note: Includes bibliographical references (pages [103]-106) and index.
  subject:
    topic: Power series
  subject:
    topic: Asymptotic expansions
  subject:
    topic: Summability theory
  subject:
    topic: Analytic functions
  subject:
    topic: Séries de puissances
  subject:
    topic: Développements asymptotiques
  subject:
    topic: Sommabilité
  subject:
    topic: Fonctions analytiques
  subject:
    topic: Analytic functions
  subject:
    topic: Asymptotic expansions
  subject:
    topic: Power series
  subject:
    topic: Summability theory
  subject:
    topic: Reeksontwikkelingen
  subject:
    topic: Asymptotisch gedrag
  subject:
    topic: Analytische Funktion
  subject:
    topic: Potenzreihe
  classification: QA3 .L28 no. 1582
  classification: QA295
  classification: 510 s 515.2432
  classification: 31.44
  related item:
    title info:
      title: From divergent power series to analytic functions
    name:
      name part: Balser, Werner, 1946-
    origin info:
      publisher: Berlin ; New York : Springer-Verlag, ©1994
    identifier: (DLC) 94028232
    identifier: (OCoLC)30734838
  related item:
    title info:
      title: Lecture notes in mathematics (Springer-Verlag) ; 1582
  identifier: 9783540485940 (electronic bk.)
  identifier: 3540485945 (electronic bk.)
  identifier: 3540582681 (Berlin : acid-free)
  identifier: 9783540582687 (Berlin : acid-free)
  identifier: 0387582681 (New York : acid-free)
  identifier: 9780387582689 (New York : acid-free)
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: SPLNM
    record creation date: 081224
    record change date: 20260422230539.2
    record identifier: in00003501426
    language of cataloging:
      language term: eng