International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/2948 2020 2020 Mathematics Education Program, Faculty of Education and Arts, Sohar University, Sohar 3111, Oman; Jadara Research Center, Jadara University, Irbid 21110, Jordan. Ala Ala Department of Applied Science, Ajloun College, Al-Balqa Applied University, Ajloun 26816. Jordan; Jadara Research Center, Jadara University, Irbid 21110, Jordan. Tariq Al Al-Hawary Department of Mathematics, The University of Jordan, Amman 11942, Jordan; Jadara Research Center, Jadara University, Irbid 21110, Jordan Feras Yousef College of Applied and Health Sciences, A’Sharqiyah University, Post Box No. 42, Post Code No. 400 Ibra, Sultanate of Oman Jamal Salah The aim of this study is to present novel collections of bi-univalent functions, which are characterized using the Bell Distribution. These collections are delineated through the application of Jacobi polynomials. We have established bounds for the Taylor-Maclaurin coefficients, particularly |a2| and |a3|. Additionally, we have investigated the Fekete-Szeg¨o functional issues pertinent to functions within these subclasses. By concentrating on particular parameters in our principal findings, we have identified numerous new insights.   2024 2024 228 238 10.54216/IJNS.250121 https://www.americaspg.com/articleinfo/21/show/2948