On Some Symbolic 2-Plithogenic and 3-Plithogenic Real Series

Oliver Von Shtawzen¹, Bahadir Tantay^2,*, Foziljonov Ibrohimjon³

¹University Of Nizwa, Department of Mathematics, Nizwa, Oman

²College of Business Administration, American University of the Middle East, Egaila, 54200, Kuwait

³Tashkent State University of Economics, Uzbekistan

Emails: Vonshtawzen1970abc@gmail.com; bahadir.tantay@aum.edu.kw;  ifoziljonov@tsue.uz

Abstract

The objective of this paper is to study the expansion of symbolic 2-plithogenic and symbolic 3-plithogenic real functions in one variable with real series, where many famous expansions will be presented according to the Taylor series applied for symbolic plithogenic functions defined over symbolic plithogenic rings. Also, we provide many related examples to clarify and to explain the expansion method and properties.

Keywords: Taylor series; real function; symbolic 2-plithogenic function; symbolic 3-plithogenic function.