Geometric Properties of a General Subclass of Analytic Functions Involving Multiplier Operator

Authors

  • Shasha Han Navajo Technical University
  • Maisarah Haji Mohamed School of Mathematical Sciences, Universiti Sains Malaysia, Penang 11800, Malaysia
  • Mohamed Illafe Navajo Technical University

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i3.6415

Keywords:

multiplier transfermation, , analytic function

Abstract

This paper investigates a general subclass of analytic functions defined in the open unit disk involving a multiplier transformation. Employing the linear approximation theorem, we present sharp coefficient estimates, growth and distortion results, and radii for geometric properties such as close-to-convexity, starlikeness, and convexity. Our approach generalizes several known results.

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Published

2025-08-01

Issue

Section

Complex Analysis

How to Cite

Geometric Properties of a General Subclass of Analytic Functions Involving Multiplier Operator. (2025). European Journal of Pure and Applied Mathematics, 18(3), 6415. https://doi.org/10.29020/nybg.ejpam.v18i3.6415