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Concerning a Novel Integral Operator and a Specific Category of Starlike Functions

Author

Listed:
  • Ayotunde Olajide Lasode

    (Department of Mathematics, Faculty of Physical Sciences, University of Ilorin, P.M.B. 1515, Ilorin 240003, Nigeria)

  • Timothy Oloyede Opoola

    (Department of Mathematics, Faculty of Physical Sciences, University of Ilorin, P.M.B. 1515, Ilorin 240003, Nigeria)

  • Isra Al-Shbeil

    (Department of Mathematics, Faculty of Science, The University of Jordon, Amman 11942, Jordan)

  • Timilehin Gideon Shaba

    (Department of Physical Sciences, Landmark University, Omu-Aran 251103, Nigeria)

  • Huda Alsaud

    (Department of Mathematics, College of Science, King Saud University, P.O. Box 22452, Riyadh 11495, Saudi Arabia)

Abstract

In this study, a novel integral operator that extends the functionality of some existing integral operators is presented. Specifically, the integral operator acts as the inverse operator to the widely recognized Opoola differential operator. By making use of the integral operator, a certain subclass of analytic univalent functions defined in the unit disk is proposed and investigated. This new class encompasses some familiar subclasses, like the class of starlike and the class of convex functions, while some new ones are introduced. The investigation thereafter covers coefficient inequality, distortion, growth, covering, integral preserving, closure, subordinating factor sequence, and integral means properties. Furthermore, the radii problems associated with this class are successfully addressed. Additionally, a few remarks are provided, to show that the novel integral operator and the new class generalize some existing ones.

Suggested Citation

  • Ayotunde Olajide Lasode & Timothy Oloyede Opoola & Isra Al-Shbeil & Timilehin Gideon Shaba & Huda Alsaud, 2023. "Concerning a Novel Integral Operator and a Specific Category of Starlike Functions," Mathematics, MDPI, vol. 11(21), pages 1-17, November.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:21:p:4519-:d:1272829
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    References listed on IDEAS

    as
    1. 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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