Inequalities of Coefficients and the Fekete-Szegö Problem Associated with λ-Pseudo Starlike Functions

Ibrahim M., Sudharsanan B., Lupaş A. A., Gunasekar S., YALÇIN TOKGÖZ S.

Contemporary Mathematics (Singapore), cilt.5, sa.4, ss.6103-6119, 2024 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5 Sayı: 4
  • Basım Tarihi: 2024
  • Doi Numarası: 10.37256/cm.5420245312
  • Dergi Adı: Contemporary Mathematics (Singapore)
  • Derginin Tarandığı İndeksler: Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.6103-6119
  • Anahtar Kelimeler: analytic functions, coefficient inequalities, fekete-szegö inequality, inverse functions, subordination, λ-pseudo starlike functions
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

We introduce a new subclass of starlike functions, denoted by RS∗ (λ, Ξ, ξ1, ξ2), that are influenced by the Janowski functions, which are well-known in the literature. Our main results are the coefficient estimates of the inverse function and the Fekete-Szegö inequality for this subclass. We also present some special cases of our results that are of interest.