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Application of the Quasi-Hadamard Product to Subclasses of Analytic Functions Involving the q -Difference Operator

Author

Listed:
  • Wafaa Y. Kota

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

  • Nicoleta Breaz

    (Department of Mathematics, Faculty of Computer Science and Engineering, “1 Decembrie 1918” University of Alba Iulia, Street Nicolae Iorga 11-13, R-510009 Alba Iulia, Romania
    These authors contributed equally to this work.)

Abstract

In this study, the subclasses V q , ϱ ℓ ( c 𝚥 , λ ) , U q , ϱ ( c 𝚥 , λ ) and V q , ϱ ( c 𝚥 , λ ) of analytic functions using the q-difference operator are defined and investigated. Thus, we obtained some results for the quasi-Hadamard product on these classes of analytic functions. Furthermore, connections between our results and some previously established results are outlined in this study.

Suggested Citation

  • Wafaa Y. Kota & Rabha M. El-Ashwah & Nicoleta Breaz, 2023. "Application of the Quasi-Hadamard Product to Subclasses of Analytic Functions Involving the q -Difference Operator," Mathematics, MDPI, vol. 11(10), pages 1-9, May.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:10:p:2291-:d:1146964
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    References listed on IDEAS

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    1. Junichi Nishiwaki & Shigeyoshi Owa, 2002. "Coefficient inequalities for certain analytic functions," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 29, pages 1-6, January.
    2. F. M. Al-Oboudi, 2004. "On univalent functions defined by a generalized Sălăgean operator," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2004, pages 1-8, January.
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