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

Breaz, Daniel; Orhan, Halit; Cotîrlă, Luminiţa-Ioana; Arıkan, Hava

doi:10.3390/axioms12020172

Makale Tam Makale Uluslararası 2023 Açık erişimli

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

Daniel Breaz, Halit Orhan, Luminiţa-Ioana Cotîrlă, Hava Arıkan

Axioms Cilt 12 · Sayı 2 · 01.02.2023

DOI ile aç

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.

Anahtar kelimeler

coefficient bounds bi-univalent functions Analytic functions coefficient inequalities Fekete-Szego problem Horadam polynomials q-analog of the Noor integral operator FEKETE-SZEGO INEQUALITY GENERAL SUBCLASS

Atıf için künye

Breaz, D., Orhan, H., Cotîrlă, L., & Arıkan, H. (2023). A New Subclass of Bi-Univalent Functions Defined by a Certain Integral Operator. Axioms, 12(2). https://doi.org/10.3390/axioms12020172

BibTeX

@article{breaz2023-73036,
  author = {Breaz, Daniel and Orhan, Halit and Cotîrlă, Luminiţa-Ioana and Arıkan, Hava},
  title = {A New Subclass of Bi-Univalent Functions Defined by a Certain Integral Operator},
  journal = {Axioms},
  year = {2023},
  volume = {12},
  number = {2},
  issn = {2075-1680},
  doi = {10.3390/axioms12020172},
  url = {https://akademik.atauni.edu.tr/yayinlar/73036-a-new-subclass-of-bi-univalent-functions-defined-by-a-certain-integral-operator}
}