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A Subclass of Meromorphic Multivalent Functions Generated by a Symmetric q -Difference Operator

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  • Vasile-Aurel Caus

    (Department of Mathematics and Computer Science, University of Oradea, 410087 Oradea, Romania)

Abstract

This paper presents a novel symmetric q -analogue differential operator designed for meromorphic multivalent functions analytic in the punctured open unit disk. Employing this operator, a new family of meromorphic multivalent functions is proposed and examined in this work. A detailed investigation of this newly defined class of meromorphic multivalent functions is presented, highlighting key geometric characteristics, including sufficiency criteria, coefficient inequalities, distortion and growth behavior, as well as the radii of starlikeness and convexity.

Suggested Citation

  • Vasile-Aurel Caus, 2025. "A Subclass of Meromorphic Multivalent Functions Generated by a Symmetric q -Difference Operator," Mathematics, MDPI, vol. 13(11), pages 1-19, May.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:11:p:1797-:d:1666217
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    References listed on IDEAS

    as
    1. Miraj Ul-Haq & Mohsan Raza & Muhammad Arif & Qaiser Khan & Huo Tang, 2019. "q-Analogue of Differential Subordinations," Mathematics, MDPI, vol. 7(8), pages 1-16, August.
    2. Daniel Breaz & Kadhavoor R. Karthikeyan & Elangho Umadevi, 2022. "Subclasses of Multivalent Meromorphic Functions with a Pole of Order p at the Origin," Mathematics, MDPI, vol. 10(4), pages 1-15, February.
    3. Aabed Mohammed & Maslina Darus, 2014. "On New -Valent Meromorphic Function Involving Certain Differential and Integral Operators," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, February.
    4. Aabed Mohammed & Maslina Darus, 2014. "On New p‐Valent Meromorphic Function Involving Certain Differential and Integral Operators," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
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