Beta Special Function of Symbolic 2-Plithogenic and 3-Plithogenic Real Numbers

Nabil Khuder Salman^1,*

¹AL-Farahidi University, Baghdad, Iraq

Abstract

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.

Keywords: Special functions; Beta special function; Symbolic 2- plithogenic number; Symbolic 3- plithogenic number