IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-0-8176-8406-8_11.html
   My bibliography  Save this book chapter

Some Problems in Combinatorics and Analysis That Can Be Explored Using Generating Functions

In: Thinking in Problems

Author

Listed:
  • Alexander A. Roytvarf

Abstract

For a finite (or countably infinite) sequence an, the generating function (or series) is defined as the polynomial (resp. formal series) ∑antn . For a multisequence am,n,…, the generating function is a polynomial or series in several variables ∑a m,n,… t m u n Various problems of combinatorial analysis and probability theory are successfully explored with such powerful tools as generating functions. In this chapter readers will encounter several problems related to the combinatorics of binomial coefficients, theory of partitions, and renewal processes in probability theory that can be explored using generating functions. The problems of the first two groups does not require the ability to deal with power series (likewise, the problems of the second group assume no familiarity with the theory of partitions) and can be solved by readers with limited experience.

Suggested Citation

  • Alexander A. Roytvarf, 2013. "Some Problems in Combinatorics and Analysis That Can Be Explored Using Generating Functions," Springer Books, in: Thinking in Problems, edition 127, pages 291-318, Springer.
    • Handle: RePEc:spr:sprchp:978-0-8176-8406-8_11
    DOI: 10.1007/978-0-8176-8406-8_11
    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:978-0-8176-8406-8_11. 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.