aspg-21-3646-1791465340 20261008131540 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2026 26 1 Nabil Khuder Salman AL-Farahidi University, Baghdad, Iraq The main goal of this paper is to define and study the concept of beta special function defined over the ring of symbolic 2-plithogenic numbers and symbolic 3-plithogenic numbers. Besides, we prove some of the elementary properties of these two versions of beta function by using the isomorphism that connect plithogenic numbers with the classical real numbers. In addition, we represent the relationships between plithogenic beta functions and classical beta functions using the same proposed technique. 2026 421 427 3646 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.260134 https://www.americaspg.com/journal/21/article/3646 https://www.americaspg.com/storage/91740589055.pdf