Based on a family of bi-univalent functions introduced through the Faber polynomial expansions and Noor integral operator

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Sakar F. M., Akgül A.

AIMS MATHEMATICS, cilt.7, sa.4, ss.5146-5155, 2022 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 4
  • Basım Tarihi: 2022
  • Doi Numarası: 10.3934/math.2022287
  • Dergi Adı: AIMS MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.5146-5155
  • Anahtar Kelimeler: bi-univalent functions, Faber polynomials, q-analogue of Noor integral operator, coefficient inequalities, COEFFICIENT, SUBCLASS
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Kocaeli Üniversitesi Adresli: Evet

Özet

In this study, by using q-analogue of Noor integral operator, we present an analytic and bi-univalent functions family in D. We also derive upper coefficient bounds and some important inequalities for the functions in this family by using the Faber polynomial expansions. Furthermore, some relevant corollaries are also presented.