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: Nevanlinna Theory, Normal Families, and Algebraic Differential Equations
  name:
    name part: Steinmetz, Norbert.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2017
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XVIII, 235 p. 8 illus. online resource.
  abstract: This book offers a modern introduction to Nevanlinna theory and its intricate relation to the theory of normal families, algebraic functions, asymptotic series, and algebraic differential equations. Following a comprehensive treatment of Nevanlinna’s theory of value distribution, the author presents advances made since Hayman’s work on the value distribution of differential polynomials and illustrates how value- and pair-sharing problems are linked to algebraic curves and Briot–Bouquet differential equations. In addition to discussing classical applications of Nevanlinna theory, the book outlines state-of-the-art research, such as the effect of the Yosida and Zalcman–Pang method of re-scaling to algebraic differential equations, and presents the Painlevé–Yosida theorem, which relates Painlevé transcendents and solutions to selected 2D Hamiltonian systems to certain Yosida classes of meromorphic functions. Aimed at graduate students interested in recent developments in the field and researchers working on related problems,Nevanlinna Theory, Normal Families, and Algebraic Differential Equations will also be of interest to complex analysts looking for an introduction to various topics in the subject area. With examples, exercises and proofs seamlessly intertwined with the body of the text, this book is particularly suitable for the more advanced reader.
  table of contents: Introduction and preface -- Selected Topics in Complex Analysis -- Nevanlinna Theory -- Selected Applications of Nevanlinna Theory -- Normal Families -- Algebraic Differential Equations -- Higher-Order Algebraic Differential Equations -- Index.
  note: by Norbert Steinmetz.
  subject:
    topic: Mathematics
  subject:
    topic: Difference equations
  subject:
    topic: Functional equations
  subject:
    topic: Functions of complex variables
  subject:
    topic: Differential equations
  subject:
    topic: Mathematics
  subject:
    topic: Functions of a Complex Variable
  subject:
    topic: Ordinary Differential Equations
  subject:
    topic: Difference and Functional Equations
  classification: QA331-355
  classification: 515.9
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Universitext
  identifier: 9783319598000
  identifier: http://dx.doi.org/10.1007/978-3-319-59800-0
  record info:
    record creation date: 170725
    record change date: 20170731143545.0
    record identifier: 978-3-319-59800-0