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), vol.5, no.4, pp.6103-6119, 2024 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 5 Issue: 4
  • Publication Date: 2024
  • Doi Number: 10.37256/cm.5420245312
  • Journal Name: Contemporary Mathematics (Singapore)
  • Journal Indexes: Scopus, MathSciNet, zbMATH
  • Page Numbers: pp.6103-6119
  • Keywords: analytic functions, coefficient inequalities, fekete-szegö inequality, inverse functions, subordination, λ-pseudo starlike functions
  • Bursa Uludag University Affiliated: Yes

Abstract

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.