A New Subclass of Bi-Univalent Functions Defined by a Certain Integral Operator

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Breaz D., ORHAN H., Cotîrlă L., Arıkan H.

Axioms, vol.12, no.2, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 12 Issue: 2
  • Publication Date: 2023
  • Doi Number: 10.3390/axioms12020172
  • Journal Name: Axioms
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: analytic functions, bi-univalent functions, coefficient inequalities, Fekete-Szego problem, Horadam polynomials, q-analog of the Noor integral operator, FEKETE-SZEGO INEQUALITY, COEFFICIENT BOUNDS, ANALYTIC-FUNCTIONS, GENERAL SUBCLASS
  • Ataturk University Affiliated: Yes

Abstract

We introduce a comprehensive subfamily of analytic and bi-univalent functions in this study using Horadam polynomials and the q-analog of the Noor integral operator. We establish upper bounds for the absolute values of the second and the third coefficients and the Fekete–Szegö functional for the functions belonging to this family. Various observations of the results presented here are also discussed.