IDEAS home Printed from https://ideas.repec.org/a/spr/indpam/v47y2016i3d10.1007_s13226-016-0202-7.html
   My bibliography  Save this article

Generalizations of the area theorem for meromorphic univalent functions with nonzero pole

Author

Listed:
  • Bappaditya Bhowmik

    (Indian Institute of Technology, Kharagpur)

  • Firdoshi Parveen

    (Indian Institute of Technology, Kharagpur)

Abstract

In this article, we consider meromorphic univalent functions f in the unit disc of the complex plane having a simple pole at z = α ∈ (0, 1) with nonzero residue b at z = α. In 1969, P.N. Chichra proved an area theorem for such functions. In this note, we generalize this theorem and prove an interesting consequence of this result.

Suggested Citation

  • Bappaditya Bhowmik & Firdoshi Parveen, 2016. "Generalizations of the area theorem for meromorphic univalent functions with nonzero pole," Indian Journal of Pure and Applied Mathematics, Springer, vol. 47(3), pages 545-551, September.
    • Handle: RePEc:spr:indpam:v:47:y:2016:i:3:d:10.1007_s13226-016-0202-7
    DOI: 10.1007/s13226-016-0202-7
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s13226-016-0202-7
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s13226-016-0202-7?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    More about this item

    Keywords

    Univalent functions; meromorphic fuctions;

    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:indpam:v:47:y:2016:i:3:d:10.1007_s13226-016-0202-7. 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.