IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-1-4612-9917-2_6.html
   My bibliography  Save this book chapter

Conformal Mapping of Multiply Connected Domains

In: Dirichlet’s Principle, Conformal Mapping, and Minimal Surfaces

Author

Listed:
  • Richard Courant

    (New York University, Institute for Mathematics and Mechanics)

Abstract

Objective. In Chapters I and II, the conformal mapping of general Riemann domains G on slit domains B was obtained by employing Dirichlet’s Principle to construct functions in G mapping G onto B. A different approachl to the problem of conformal mapping of arbitrary domains G on individuals of any of three classes ℜ of normal domains B is provided by the methods of Chapters III and IV; Dirichlet’s Principle is used there to construct functions in B giving the inverse mapping of B onto G. Restricting ourselves to k-fold connected plane domains G,2 we shall pursue this latter approach to obtain a variety of mapping theorems stating that arbitrary3k-fold connected domains can be mapped conformally onto individuals of a great variety of specific classes ℜ of domains.

Suggested Citation

  • Richard Courant, 1950. "Conformal Mapping of Multiply Connected Domains," Springer Books, in: Dirichlet’s Principle, Conformal Mapping, and Minimal Surfaces, chapter 0, pages 167-198, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-9917-2_6
    DOI: 10.1007/978-1-4612-9917-2_6
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:sprchp:978-1-4612-9917-2_6. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.