THE FEKETE-SZEGÖ PROBLEM FOR SUBCLASSES OF ANALYTIC FUNCTIONS ASSOCIATED WITH DIFFERENTIAL OPERATOR

  • Anessa Oshah Department of Mathematics, Faculty of science, Sabratha University
  • Salma Faraj Department of Mathematics, Faculty of science, Sabratha University
  • Maslina Darus School of Mathematical Sciences, Faculty of Sciences and Technology, University Kebangsaan Malaysia
Keywords: analytic function, starlike function, subordination, Fekete-Szegö inequality, differential operator

Abstract

The aim of this paper is to determine the Fekete-Szegö inequality for the class 〖 M〗_(λ_1,λ_2,l,d)^(n,m) (∅) of normalized analytic functions f(z) defined on the open unit disk for which z(D_(λ_1,λ_2,l,d)^(n,m) f (z))'/(D_(λ_1,λ_2,l,d)^(n,m) f (z)) lies in a region starlike with respect to 1 and symmetric with respect to the real axis by using the differential operator D_(λ_1,λ_2,l,d)^(n,m) f(z) given by authors Oshah and Darus. As a special case of this result, Fekete-Szegö inequality for a class of functions that is defined by fractional derivatives is to be obtained too.

Author Biographies

Anessa Oshah, Department of Mathematics, Faculty of science, Sabratha University

Department of Mathematics, Faculty of science, Sabratha University

Salma Faraj, Department of Mathematics, Faculty of science, Sabratha University

Department of Mathematics, Faculty of science, Sabratha University

Maslina Darus, School of Mathematical Sciences, Faculty of Sciences and Technology, University Kebangsaan Malaysia

School of Mathematical Sciences, Faculty of Sciences and Technology, University Kebangsaan Malaysia

Published
2023-04-27
How to Cite
Oshah, A., Faraj, S., & Darus, M. (2023). THE FEKETE-SZEGÖ PROBLEM FOR SUBCLASSES OF ANALYTIC FUNCTIONS ASSOCIATED WITH DIFFERENTIAL OPERATOR. Scientific Journal of Applied Sciences of Sabratha University, 24-37. https://doi.org/10.47891/sabujas.v0i0.24-37