IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v12y2024i23p3804-d1534352.html
   My bibliography  Save this article

On the Growth Orders and Types of Biregular Functions

Author

Listed:
  • Hongfen Yuan

    (School of Mathematics and Physics, Hebei University of Engineering, Handan 056038, China)

  • Valery Karachik

    (Department of Mathematical Analysis and Methods of Teaching Mathematics, South Ural State University, 454080 Chelyabinsk, Russia)

  • Danting Wang

    (School of Mathematics and Physics, Hebei University of Engineering, Handan 056038, China)

  • Tieguo Ji

    (School of Mathematics and Physics, Hebei University of Engineering, Handan 056038, China)

Abstract

One of the main aims of Clifford analysis is to study the growth properties of regular functions. Biregular functions are a well-known generalization of regular functions. In this paper, the growth orders and types of biregular functions are studied. First, generalized growth orders and types of biregular functions are defined in the context of Clifford analysis. Then, using the methods of Wiman and Valiron, generalized Lindelöf–Pringsheim theorems are proved, which show the relationship between growth orders, growth types, and Taylor series. These connections allow us to calculate the growth order and determine the type of biregular functions.

Suggested Citation

  • Hongfen Yuan & Valery Karachik & Danting Wang & Tieguo Ji, 2024. "On the Growth Orders and Types of Biregular Functions," Mathematics, MDPI, vol. 12(23), pages 1-13, December.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:23:p:3804-:d:1534352
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/12/23/3804/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/12/23/3804/
    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:12:y:2024:i:23:p:3804-:d:1534352. 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.