SUBCLASSES OF ANALYTIC FUNCTIONS DEFINED BY GENERALISED DERIVATIVE OPERATOR

Farida Abdallah Abu fares; Aisha Ahmed Amer

doi:10.36602/jsba.2024.18.89

SUBCLASSES OF ANALYTIC FUNCTIONS DEFINED BY GENERALISED DERIVATIVE OPERATOR

Authors

Farida Abdallah Abu fares Mathmatics Department, Faculty of Science - Al-Khomus, Alasmarya Islamic University
Aisha Ahmed Amer Mathmatics Department, Faculty of Science -Al-Khomus, Al-Margib University

DOI:

https://doi.org/10.36602/jsba.2024.18.89

Keywords:

Analytical functions, Derivative operator, Fekete–Szego inequality, Hadamard product.

Abstract

In this paper, we obtain the Fekete-szego inequality defined on the class of analytical functions normalized in the unit disk, which is defined by generalized derivative operator and the Hadamard product with a normalized analytic function. The main purpose of this paper is to give an estimate for the Fekete szego inequality when f ∈Δ_(n,m)^(λ_1,λ_2,l) (φ(z),ψ(z);α,β,γ).

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Published

2024-07-29

How to Cite

Abdallah Abu fares, F., & Ahmed Amer, A. (2024). SUBCLASSES OF ANALYTIC FUNCTIONS DEFINED BY GENERALISED DERIVATIVE OPERATOR. Journal of Science Basic and Applied - Faculty of Science - Misurata University , Libya , (18), 99–106. https://doi.org/10.36602/jsba.2024.18.89