Skip to main content Accessibility help
×
  1. Home
  2. Books
  3. Asymptotics and Mellin-Barnes Integrals
  • Cited by 250
      • Show more authors
      • You may already have access via personal or institutional login
    • Select format
    • Publisher:
      Cambridge University Press
      Publication date:
      15 August 2009
      24 September 2001
      ISBN:
      9780511546662
      9780521790017
      DOI:
      https://doi.org/10.1017/CBO9780511546662
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.773kg, 440 Pages
      Dimensions:
      Weight & Pages:
      • Subjects:
      Mathematics (general), Mathematics, Abstract Analysis, Real and Complex Analysis
      Series:
      Encyclopedia of Mathematics and its Applications (85)
    You may already have access via personal or institutional login
    • Selected: Digital
    Add to cart View cart Buy from Cambridge.org
    Subjects:
    Mathematics (general), Mathematics, Abstract Analysis, Real and Complex Analysis
    Series:
    Encyclopedia of Mathematics and its Applications (85)
    Information

    Book description

    Asymptotics and Mellin-Barnes Integrals, first published in 2001, provides an account of the use and properties of a type of complex integral representation that arises frequently in the study of special functions typically of interest in classical analysis and mathematical physics. After developing the properties of these integrals, their use in determining the asymptotic behaviour of special functions is detailed. Although such integrals have a long history, the book's account includes recent research results in analytic number theory and hyperasymptotics. The book also fills a gap in the literature on asymptotic analysis and special functions by providing a thorough account of the use of Mellin-Barnes integrals that is otherwise not available in other standard references on asymptotics.

    Reviews

    'Asymptotics and Mellin-Barnes integrals by R. B. Paris and D. Kaminski is one of the first new, extended texts to be published in English since the recent advances began, and is a mixture of existing and novel techniques and applications. … but the comprehensive nature of this work means that it is likely to become one of the most significant textbook references for Mellin-Barnes theory. Every university with physical scientists, engineers or mathematicians who use asymptotic expansions should have at least one copy of this book.'

    Source: Bulletin of the London Mathematical Society

    Refine List

    Actions for selected content:

    Select all | Deselect all
    • View selected items
    • Export citations
    • Download PDF (zip)
    • Save to Kindle
    • Save to Dropbox
    • Save to Google Drive

    Save Search

    You can save your searches here and later view and run them again in "My saved searches".

    Please provide a title, maximum of 40 characters.
    Cancel
    ×

    Contents

    Contents

    Metrics

    Altmetric attention score

    Full text views

    Total number of HTML views: 0
    Total number of PDF views: 0 *
    Loading metrics...

    Book summary page views

    Total views: 0 *
    Loading metrics...

    * Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

    Usage data cannot currently be displayed.

    Accessibility standard: Unknown

    Why this information is here

    This section outlines the accessibility features of this content - including support for screen readers, full keyboard navigation and high-contrast display options. This may not be relevant for you.

    Accessibility Information

    Accessibility compliance for the PDF of this book is currently unknown and may be updated in the future.