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, vol.27, no.2, 2021 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 27 Issue: 2
  • Publication Date: 2021
  • Doi Number: 10.1007/s40590-021-00349-9
  • Journal Name: BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH, DIALNET
  • Keywords: Fekete-Szego problem, Analytic functions, Starlike and convex functions of complex order, Ruscheweyh and Al-Oboudi differential operator, 30C45, 30C50
  • Ataturk University Affiliated: Yes

Abstract

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).