On Salagean type pseudo-starlike functions

  • Şahsene Altınkaya Uludag University, Department of Mathematics, Faculty of Arts and Science, 16059 Bursa
  • Yeşim Sağlam Özkan Uludag University, Department of Mathematics, Faculty of Arts and Science, 16059 Bursa
Keywords: λ-pseudo-starlike functions, sigmoid function, Salagean derivative, Bazilevič functions, coefficient bounds, Fekete-Szegö inequalities

Abstract

We construct two new subclasses of univalent functions in the open unit disk U = {z : |z| < 1}. For the first class £λ(β) of Salagean type λ-pseudo-starlike functions, using the sigmoid function, we establish upper bounds for the initial coefficients of the functions in this class. Furthermore, for the second class £λ (β, φ) we obtain Fekete-Szegö inequalities. The results presented in this paper generalize the recent work of Babalola.

Published
2017-12-22
Section
Articles