IDEAS home Printed from https://ideas.repec.org/a/hin/jnlamp/9575626.html
   My bibliography  Save this article

Combinatorics of Second Derivative: Graphical Proof of Glaisher-Crofton Identity

Author

Listed:
  • Pawel Blasiak
  • Gérard H. E. Duchamp
  • Karol A. Penson

Abstract

We give a purely combinatorial proof of the Glaisher-Crofton identity which is derived from the analysis of discrete structures generated by the iterated action of the second derivative. The argument illustrates the utility of symbolic and generating function methodology of modern enumerative combinatorics. The paper is meant for nonspecialists as a gentle introduction to the field of graphical calculus and its applications in computational problems.

Suggested Citation

  • Pawel Blasiak & Gérard H. E. Duchamp & Karol A. Penson, 2018. "Combinatorics of Second Derivative: Graphical Proof of Glaisher-Crofton Identity," Advances in Mathematical Physics, Hindawi, vol. 2018, pages 1-9, October.
    • Handle: RePEc:hin:jnlamp:9575626
    DOI: 10.1155/2018/9575626
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/AMP/2018/9575626.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/AMP/2018/9575626.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2018/9575626?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
    ---><---

    More about this item

    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:hin:jnlamp:9575626. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.