Symmetry (Jul 2024)

Initial Coefficient Bounds for Certain New Subclasses of Bi-Univalent Functions Involving Mittag–Leffler Function with Bounded Boundary Rotation

  • Ibtisam Aldawish,
  • Prathviraj Sharma,
  • Sheza M. El-Deeb,
  • Mariam R. Almutiri,
  • Srikandan Sivasubramanian

DOI
https://doi.org/10.3390/sym16080971
Journal volume & issue
Vol. 16, no. 8
p. 971

Abstract

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By using the Mittag–Leffler function associated with functions of bounded boundary rotation, the authors introduce a few new subclasses of bi-univalent functions involving the Mittag–Leffler function with bounded boundary rotation in the open unit disk D. For these new classes, the authors establish initial coefficient bounds of |a2| and |a3|. Furthermore, the famous Fekete–Szegö coefficient inequality is also obtained for these new classes of functions.

Keywords