IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v13y2025i12p1919-d1674459.html
   My bibliography  Save this article

A Study of Certain Geometric Properties and Hardy Spaces of the Normalized Miller-Ross Function

Author

Listed:
  • Muhammad Abubakr

    (Department of Mathematics, Government College University Faisalabad, Faisalabad 38000, Pakistan)

  • Mohsan Raza

    (Department of Mathematics, Government College University Faisalabad, Faisalabad 38000, Pakistan)

  • Abdulaziz Alenazi

    (Department of Mathematics, College of Science, Northern Border University, Arar 91431, Saudi Arabia
    Center for Scientific Research and Entrepreneurship, Northern Border University, Arar 73213, Saudi Arabia)

  • Khaled Mehrez

    (Research Laboratory: Chemistry, Materials and Modeling (LR24ES02), Preparatory Institute for Engineering Studies of Kairouan, University of Kairouan, Kairouan 3100, Tunisia
    Department of Mathematics, Preparatory Institute for Engineering Studies of Kairouan, University of Kairouan, Kairouan 3100, Tunisia)

Abstract

The main objective of this research is to investigate specific sufficiency criteria for the strongly starlikeness, strongly convexity, starlikeness, convexity and pre-starlikeness of the normalized Miller-Ross function. Furthermore, we establish sufficient conditions under which the normalized Miller-Ross function belongs to Hardy spaces and the class-bounded analytic functions. Some of the various results which are derived in this paper are presumably new and their significance is illustrated through several interesting examples.

Suggested Citation

  • Muhammad Abubakr & Mohsan Raza & Abdulaziz Alenazi & Khaled Mehrez, 2025. "A Study of Certain Geometric Properties and Hardy Spaces of the Normalized Miller-Ross Function," Mathematics, MDPI, vol. 13(12), pages 1-16, June.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:12:p:1919-:d:1674459
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/13/12/1919/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/13/12/1919/
    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:13:y:2025:i:12:p:1919-:d:1674459. 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.