Subordination Properties for Classes of Analytic Univalent Involving Linear Operator

Amal Madhi Rashid; Abdul Rahman S. Juma; Sibel Yalçın∗

doi:10.5666/KMJ.2023.63.2.225

Article

Kyungpook Mathematical Journal 2023; 63(2): 225-234

Published online June 30, 2023

Subordination Properties for Classes of Analytic Univalent Involving Linear Operator

Amal Madhi Rashid, Abdul Rahman S. Juma, Sibel Yalçın∗

Department of Mathematics, College of Education for Pure Sciences, University of Anbar, Ramadi, Iraq
e-mail : ama19u2001@uoanbar.edu.iq and eps.abdulrahman.juma@uoanbar.edu.iq

Department of Mathematics, Faculty of Arts and Sciences, Bursa Uludag University, 16059, Görükle, Bursa, Turkey
e-mail : syalcin@uludag.edu.tr

Received: July 25, 2022; Revised: March 23, 2023; Accepted: March 29, 2023

Abstract

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Abstract

In this paper, we use the use the linear operator ℨτ,σx(u,v,y)f(z) and the concept of the subordination to analyse the general class of all analytic univalent functions. Our main results are implication properties between the classes of such functions and the application of these properties to special cases.

Keywords: Analytic function, Univalent function, Differential subordination, Starlike function