Mathematics (May 2024)

New Uses of <i>q</i>-Generalized Janowski Function in <i>q</i>-Bounded Turning Functions

  • Timilehin Gideon Shaba,
  • Ferdous M. O. Tawfiq,
  • Daniel Breaz,
  • Luminit̨a-Ioana Cotîrlă

DOI
https://doi.org/10.3390/math12101552
Journal volume & issue
Vol. 12, no. 10
p. 1552

Abstract

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In this paper, we discussed a new subclass JQ⅁,AB(q) of bi-univalent functions in the unit disk U using q-generalized Janowski function and q-derivative. Additionally, certain properties were examined and effectively demonstrated, such as the second Hankel determinant, Fekete–Szegö estimates, and Coefficients Bounds. Each of these bounds were precise and were confirmed by finding the extremal function for the new class. Furthermore, there are in-depth conversations available regarding certain intriguing specific cases of the outcomes achieved.

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