International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/3470 2020 2020 Department of Mathematics, College of Science University of Kirkuk -Kirkuk, Iraq Layla Layla Department of Mathematics, Faculty of Science, Al-Balqa Applied University, Salt 19117, Jordan Mohammad El El-Ityan Department of Mathematics and Computer Applications, College of Science, Al Muthanna University, Iraq Rafid Habib Buti This paper investigates the 𝔓𝕞ℵ operator, constructed from the Neutrosophic 𝓆-Poisson distribution series. The study examines this operator within the realm of geometric function theory, focusing on key characteristics such as coefficient bounds, growth and distortion behavior, and the determination of convexity and star likeness radii. Additionally, the paper explores the weighted and arithmetic means of functions associated with this operator and analyzes its closure properties under the Hadamard product. 2025 2025 230 239 10.54216/IJNS.250419 https://www.americaspg.com/articleinfo/21/show/3470