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

Author

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  • 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
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