Mathematics (Nov 2023)

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

  • Ayotunde Olajide Lasode,
  • Timothy Oloyede Opoola,
  • Isra Al-Shbeil,
  • Timilehin Gideon Shaba,
  • Huda Alsaud

DOI
https://doi.org/10.3390/math11214519
Journal volume & issue
Vol. 11, no. 21
p. 4519

Abstract

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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.

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