International Journal of Nonlinear Analysis and Applications

Fekete-Szegö functional for regular functions based on quasi-subordination

Document Type : Research Paper

Authors

1 Department of Computer Science and Engineering, RV College of Engineering, Bengaluru- 560 059, Karnataka, India

2 Department of Mathematics, Faculty of Arts-Science, Beykent University, 34500 Istanbul, Turkey

Abstract

Considering two special families of regular functions in an open unit disk based on quasi-subordination, we present sharp bounds for initial coefficient estimates and also determine the classical functional of Fekete-Szegö of functions in these families. Further, we discuss subordination and majorization results for the associated families. Few known and several new consequences are established.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 13, Issue 2
July 2022
Pages 1105-1115
  • Receive Date: 14 May 2021
  • Revise Date: 17 June 2021
  • Accept Date: 29 July 2021