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, cilt.12, sa.2, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Sayı: 2
  • Basım Tarihi: 2023
  • Doi Numarası: 10.3390/axioms12020172
  • Dergi Adı: Axioms
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: 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
  • Atatürk Üniversitesi Adresli: Evet

Özet

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.