Generalized coefficient estimates for a new subclass of analytic functions

ORHAN H., Çağlar M.

Asian-European Journal of Mathematics, 2025 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1142/s1793557125500809
  • Dergi Adı: Asian-European Journal of Mathematics
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Anahtar Kelimeler: analytic functions, Fekete–Szegö functional, q-Ruscheweyh differential operator, starlike and convex function of order β, Sălăgean derivative operator
  • Atatürk Üniversitesi Adresli: Evet

Özet

In this study, a new subclass of analytic functions in the open unit disk was defined with the help of the function obtained by applying the Sălăgean derivative to the q-Ruscheweyh derivative operator. For the functions belonging to this subclass, the coefficient bounds for the Fekete–Szegö functional were determined. The results of this paper are a generalization of the results of Kanas and Darwish [Fekete–Szegö problem for starlike and convex functions of complex order, Appl. Math. Lett. 23(7) (2010) 777–782].