IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v13y2025i10p1612-d1655726.html
   My bibliography  Save this article

Majorization Problems for Subclasses of Meromorphic Functions Defined by the Generalized q -Sălăgean Operator

Author

Listed:
  • Ekram E. Ali

    (Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 81451, Saudi Arabia
    Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said 42521, Egypt
    These authors contributed equally to this work.)

  • Rabha M. El-Ashwah

    (Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt
    These authors contributed equally to this work.)

  • Teodor Bulboacă

    (Research Center of Applied Analysis, Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania
    These authors contributed equally to this work.)

  • Abeer M. Albalahi

    (Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 81451, Saudi Arabia
    These authors contributed equally to this work.)

Abstract

Using the generalized q -Sălăgean operator, we introduce a new class of meromorphic functions in a punctured unit disk U ∗ and investigate a majorization problem associated with this class. The principal tool employed in this analysis is the recently established q -Schwarz–Pick lemma. We investigate a majorization problem for meromorphic functions when the functions of the right hand side of the majorization belongs to this class. The main tool for this investigation is the generalization of Nehari’s lemma for the Jackson’s q -difference operator ∂ q given recently by Adegani et al.

Suggested Citation

  • Ekram E. Ali & Rabha M. El-Ashwah & Teodor Bulboacă & Abeer M. Albalahi, 2025. "Majorization Problems for Subclasses of Meromorphic Functions Defined by the Generalized q -Sălăgean Operator," Mathematics, MDPI, vol. 13(10), pages 1-13, May.
  • Handle: RePEc:gam:jmathe:v:13:y:2025:i:10:p:1612-:d:1655726
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/13/10/1612/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/13/10/1612/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Huda Aldweby & Maslina Darus, 2014. "Some Subordination Results on q‐Analogue of Ruscheweyh Differential Operator," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.

      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:gam:jmathe:v:13:y:2025:i:10:p:1612-:d:1655726. 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.

      If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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.