On Certain Generalized Subclasses of Multivalent Functions With Negative Coefficients Defined by a Linear Operator

Authors

  • Abdusalam.R. Ahmed Department of Mathematics Faculty of Science , Azzaytouna University, Libya
  • Milad E. Drbuk Department of Mathematics Faculty of Arts and Science , Elmergib University, Libya
  • Eenas Alhasouni Salim Department of Mathematics, Faculty of Education, Azzaytouna University, Libya.

Keywords:

Analytic functions, Multivalent functions, Linear operator, Negative coefficients

Abstract

In this paper, we investigate several generalized subclasses of multivalent

Analytic functions with negative coefficients defined by a linear operator. Sharp coefficients estimates are obtained and  distortion results are established for functions belonging to the proposed classes. Furthermore, we determine the radii o close-to-convexity, starlikeness and convexity associated with these subclasses. Our results extend and unify several earlier works in the theory of multivalent functions and provide new insights into the geometric behavior of functions defined via linear operator

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Published

2026-02-01

How to Cite

Abdusalam.R. Ahmed, Milad E. Drbuk, & Eenas Alhasouni Salim. (2026). On Certain Generalized Subclasses of Multivalent Functions With Negative Coefficients Defined by a Linear Operator. Journal of Libyan Academy Bani Walid, 2(1), 270–277. Retrieved from https://journals.labjournal.ly/index.php/Jlabw/article/view/455

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Applied Sciences