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Convolution Results with Subclasses of p -Valent Meromorphic Function Connected with q -Difference Operator

Author

Listed:
  • Ekram E. Ali

    (Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 81451, Saudi Arabia)

  • Rabha M. El-Ashwah

    (Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt)

  • Abeer M. Albalahi

    (Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 81451, Saudi Arabia)

  • Rabab Sidaoui

    (Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 81451, Saudi Arabia)

  • Marwa Ennaceur

    (Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 81451, Saudi Arabia)

  • Miguel Vivas-Cortez

    (Facultad de Ciencias Exactas y Naturales, Escuela de Ciencias Fisicas y Matematicas, Pontificia Universidad Catolica del Ecuador, Av. 12 de Octubre 1076, Quito 170143, Ecuador)

Abstract

Applying the operator of q -difference, we examine the convolution properties of the subclasses MS ζ , q r , p ( A , B ) and M K ζ , q r , p ( A , B ) of p -valent meromorphic functions defined in the punctured open-unit disc. We derived specific inclusion features and coefficient estimates for functions that fall into these subclasses. Additionally, connections between the results presented here and those discovered in earlier papers are emphasized.

Suggested Citation

  • Ekram E. Ali & Rabha M. El-Ashwah & Abeer M. Albalahi & Rabab Sidaoui & Marwa Ennaceur & Miguel Vivas-Cortez, 2024. "Convolution Results with Subclasses of p -Valent Meromorphic Function Connected with q -Difference Operator," Mathematics, MDPI, vol. 12(22), pages 1-11, November.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:22:p:3548-:d:1520178
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    References listed on IDEAS

    as
    1. Ekram E. Ali & Georgia Irina Oros & Shujaat Ali Shah & Abeer M. Albalahi, 2023. "Applications of q -Calculus Multiplier Operators and Subordination for the Study of Particular Analytic Function Subclasses," Mathematics, MDPI, vol. 11(12), pages 1-15, June.
    2. Ekram E. Ali & Hari M. Srivastava & Abdel Moneim Y. Lashin & Abeer M. Albalahi, 2023. "Applications of Some Subclasses of Meromorphic Functions Associated with the q -Derivatives of the q -Binomials," Mathematics, MDPI, vol. 11(11), pages 1-10, May.
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