International Journal of Neutrosophic Science

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Volume 26 , Issue 1 , PP: 421-427, | Cite this article as | XML | Html | PDF | Full Length Article

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

Nabil Khuder Salman 1 *

  • 1 AL-Farahidi University, Baghdad, Iraq - (nsalman@uoalfarahidi.edu.iq)
  • Doi: https://doi.org/10.54216/IJNS.260134

    Received: October 14, 2024 Revised: January 01, 2025 Accepted: January 31, 2025
    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

    References

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    [9] N. K. Salman, "On the computing of symbolic 2-plithogenic and 3-plithogenic complex roots of unity," Neutrosophic Sets and Systems, 2023.

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    Cite This Article As :
    Khuder, Nabil. Beta Special Function of Symbolic 2-Plithogenic and 3-Plithogenic Real Numbers. International Journal of Neutrosophic Science, vol. , no. , , pp. 421-427. DOI: https://doi.org/10.54216/IJNS.260134
    Khuder, N. (). Beta Special Function of Symbolic 2-Plithogenic and 3-Plithogenic Real Numbers. International Journal of Neutrosophic Science, (), 421-427. DOI: https://doi.org/10.54216/IJNS.260134
    Khuder, Nabil. Beta Special Function of Symbolic 2-Plithogenic and 3-Plithogenic Real Numbers. International Journal of Neutrosophic Science , no. (): 421-427. DOI: https://doi.org/10.54216/IJNS.260134
    Khuder, N. () . Beta Special Function of Symbolic 2-Plithogenic and 3-Plithogenic Real Numbers. International Journal of Neutrosophic Science , () , 421-427 . DOI: https://doi.org/10.54216/IJNS.260134
    Khuder N. []. Beta Special Function of Symbolic 2-Plithogenic and 3-Plithogenic Real Numbers. International Journal of Neutrosophic Science. (): 421-427. DOI: https://doi.org/10.54216/IJNS.260134
    Khuder, N. "Beta Special Function of Symbolic 2-Plithogenic and 3-Plithogenic Real Numbers," International Journal of Neutrosophic Science, vol. , no. , pp. 421-427, . DOI: https://doi.org/10.54216/IJNS.260134