IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i17p3106-d901094.html
   My bibliography  Save this article

Bounds for Incomplete Confluent Fox–Wright Generalized Hypergeometric Functions

Author

Listed:
  • Tibor K. Pogány

    (Institute of Applied Mathematics, John von Neumann Faculty of Informatics, Óbuda University, Bécsi út 96/b, 1034 Budapest, Hungary
    Faculty of Maritime Studies, University of Rijeka, Studentska 2, 51000 Rijeka, Croatia)

Abstract

We establish several new functional bounds and uniform bounds (with respect to the variable) for the lower incomplete generalized Fox–Wright functions by means of the representation formulae for the McKay I ν Bessel probability distribution’s cumulative distribution function. New cumulative distribution functions are generated and expressed in terms of lower incomplete Fox–Wright functions and/or generalized hypergeometric functions, whilst in the closing part of the article, related bounding inequalities are obtained for them.

Suggested Citation

  • Tibor K. Pogány, 2022. "Bounds for Incomplete Confluent Fox–Wright Generalized Hypergeometric Functions," Mathematics, MDPI, vol. 10(17), pages 1-11, August.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:17:p:3106-:d:901094
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/17/3106/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/17/3106/
    Download Restriction: no
    ---><---

    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:gam:jmathe:v:10:y:2022:i:17:p:3106-:d:901094. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.