Fekete-Szego problem for certain subclasses of analytic functions defined by the combination of differential operators


ÇAĞLAR M., ORHAN H.

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, cilt.27, sa.2, 2021 (ESCI, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 27 Sayı: 2
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1007/s40590-021-00349-9
  • Dergi Adı: BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH, DIALNET
  • Anahtar Kelimeler: Fekete-Szego problem, Analytic functions, Starlike and convex functions of complex order, Ruscheweyh and Al-Oboudi differential operator, 30C45, 30C50
  • Atatürk Üniversitesi Adresli: Evet

Özet

In this paper, we introduce and study some new subclasses of analytic functions defined by the combination of Al-Oboudi and Ruscheweyh differential operators, and obtain coefficient estimates and Fekete-Szego inequalities for these new subclasses. The results presented in this paper improve the recent work of Kanas and Darwish (Appl Math Lett 23(7), 777-782, 2010).