Fekete-Szego problem for subclasses of analytic functions associated with quasi-subordination

Authors

  • H. Arikan Ataturk University, Erzurum, Turkey
  • M. Caglar Kafkas University, Kars, Turkey
  • H. Orhan Ataturk University, Erzurum, Turkey

DOI:

https://doi.org/10.31926/but.mif.2019.12.61.2.3

Keywords:

analytic and univalent functions, subordination, quasi-subordination, majorization, Fekete-Szego inequality

Abstract

In this paper, we define certain subclasses of analytic and univalent functions associated with quasi-subordination and we derive the bounds for the Fekete-Szego functional |a3 - va22| for functions belonging to these subclasses.

Author Biographies

H. Arikan, Ataturk University, Erzurum, Turkey

Department of Mathematics, Faculty of Science

M. Caglar, Kafkas University, Kars, Turkey

Department of Mathematics, Faculty of Science and Letters

H. Orhan, Ataturk University, Erzurum, Turkey

Department of Mathematics, Faculty of Science

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Published

2020-01-20

Issue

Vol. 12(61) No. 2 (2019)

Section

MATHEMATICS