IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v509y2026ics0096300325003972.html
   My bibliography  Save this article

Matrix-based evaluation of the fractional Hankel transform by bessel series expansion

Author

Listed:
  • Hanna, Magdy Tawfik

Abstract

The main problem in the fractional Hankel transform (FRHT) application is the difficulty encountered in any attempt toward the analytical evaluation of the integral appearing in its definition. A matrix-based numerical evaluation technique is contributed and obtained using a truncated Fourier-Bessel series expansion of a space-limited signal. The algorithm for implementing the contributed method involves only matrix computation, thus avoiding numerical integration with its associated problems of instability and inaccuracy. An expression is derived for the fractional Hankel transform of a generalized Gaussian signal, making it possible to assess the contributed numerical technique by comparing the numerically evaluated fractional transform with samples of the derived expression of the FRHT. The simulation results demonstrate the high accuracy of the contributed numerical evaluation method.

Suggested Citation

  • Hanna, Magdy Tawfik, 2026. "Matrix-based evaluation of the fractional Hankel transform by bessel series expansion," Applied Mathematics and Computation, Elsevier, vol. 509(C).
    • Handle: RePEc:eee:apmaco:v:509:y:2026:i:c:s0096300325003972
    DOI: 10.1016/j.amc.2025.129671
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300325003972
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2025.129671?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

    for a different version of it.

    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:eee:apmaco:v:509:y:2026:i:c:s0096300325003972. 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.