International Journal of Neutrosophic Science

Journal DOI

https://doi.org/10.54216/IJNS

Submit Your Paper

2690-6805ISSN (Online) 2692-6148ISSN (Print)

Volume 25 , Issue 4 , PP: 230-239, 2025 | Cite this article as | XML | Html | PDF | Full Length Article

Geometric Properties of Neutrosophic 𝓆 -Poisson distribution Series through π•»π•žβ„΅ Operator

Layla Esmet Jalil 1 * , Mohammad El-Ityan 2 , Rafid Habib Buti 3

  • 1 Department of Mathematics, College of Science University of Kirkuk -Kirkuk, Iraq - (laylaismet@uokirkuk.edu.iq)
  • 2 Department of Mathematics, Faculty of Science, Al-Balqa Applied University, Salt 19117, Jordan - (Mohammad65655vv22@gmail.com)
  • 3 Department of Mathematics and Computer Applications, College of Science, Al Muthanna University, Iraq - (Sci.rafid@mu.edu.iq)
  • Doi: https://doi.org/10.54216/IJNS.250419

    Received: July 22, 2024 Revised: October 10, 2024 Accepted: December 27, 2024
    Abstract

    This paper investigates the π”“π•žℵ operator, constructed from the Neutrosophic 𝓆-Poisson distribution series. The study examines this operator within the realm of geometric function theory, focusing on key characteristics such as coefficient bounds, growth and distortion behavior, and the determination of convexity and star likeness radii. Additionally, the paper explores the weighted and arithmetic means of functions associated with this operator and analyzes its closure properties under the Hadamard product.

    Keywords :

    Neutrosophic𝓆-Poisson distribution , Coefficient bounds , Growth , Hadamard product , Pm&alefsym , operator

    References

    [1] B. Frasin, "A new differential operator of analytic functions involving binomial series," Bol. Soc. Paran. Mat., vol. 38, no. 5, pp. 205-213, 2020.

    [2] M. Rossdy, R. Omar, and S.C. Soh, "New differential operator for analytic univalent functions associated with binomial series," in AIP Conference Proceedings, 2024, AIP Publishing.

    [3] G.S. Salagean, "Subclasses of univalent functions," in Complex Analysis—Fifth Romanian-Finnish Seminar: Part 1 Proceedings of the Seminar held in Bucharest, June 28–July 3, 1981, Springer, 2006.

    [4] M.K. Simon, Probability distributions involving Gaussian random variables: A handbook for engineers and scientists, Springer, 2002.

    [5] F. Smarandache, Introduction to neutrosophic measure, neutrosophic integral, and neutrosophic probability, Infinite Study, 2013.

    [6] N. Mustafa and V. Nezir, "Analytic functions expressed with q-Poisson distribution series," Turkish J. Sci., vol. 6, no. 1, pp. 24-30, 2021.

    [7] S. Zainab, et al., "On q-starlike functions defined by q-Ruscheweyh differential operator in symmetric conic domain," Symmetry, vol. 13, no. 10, p. 1947, 2021.

    [8] R.A.K. Sherwani, et al., "Neutrosophic normal probability distribution—a spine of parametric neutrosophic statistical tests: properties and applications," Neutrosophic Operational Research: Methods and Applications, pp. 153-169, 2021.

    [9] Alsoboh, et al., "Applications of neutrosophic q-Poisson distribution series for subclass of analytic functions and bi-univalent functions," Mathematics, vol. 11, no. 4, p. 868, 2023.

    [10] Shihadeh, K.A.M. Matarneh, R. Hatamleh, M.O. Al-Qadri, and A. Al-Husban, "On The Two-Fold Fuzzy n-Refined Neutrosophic Rings For 2≤ 3," Neutrosophic Sets and Systems, vol. 68, pp. 8-25, 2024.

    [11] Shihadeh, K.A.M. Matarneh, R. Hatamleh, R.B.Y. Hijazeen, M.O. Al-Qadri, and A. Al-Husban, "An Example of Two-Fold Fuzzy Algebras Based On Neutrosophic Real Numbers," Neutrosophic Sets and Systems, vol. 67, pp. 169-178, 2024.

    [12] I.A. Hasoon and N.A.J. Al-Ziadi, "A New Class of Univalent Functions Defined by Differential Operator," Earthline J. Math. Sci., vol. 14, no. 5, pp. 1141-1157, 2024.

    [13] W.G. Atshan and H.Y. Ghawi, "On a new class of univalent functions with negative coefficients," Eur. J. Sci. Res., vol. 74, no. 4, pp. 601-608, 2012.

    Cite This Article As :
    Esmet, Layla. , El-Ityan, Mohammad. , Habib, Rafid. Geometric Properties of Neutrosophic 𝓆 -Poisson distribution Series through π•»π•žβ„΅ Operator. International Journal of Neutrosophic Science, vol. , no. , 2025, pp. 230-239. DOI: https://doi.org/10.54216/IJNS.250419
    Esmet, L. El-Ityan, M. Habib, R. (2025). Geometric Properties of Neutrosophic 𝓆 -Poisson distribution Series through π•»π•žβ„΅ Operator. International Journal of Neutrosophic Science, (), 230-239. DOI: https://doi.org/10.54216/IJNS.250419
    Esmet, Layla. El-Ityan, Mohammad. Habib, Rafid. Geometric Properties of Neutrosophic 𝓆 -Poisson distribution Series through π•»π•žβ„΅ Operator. International Journal of Neutrosophic Science , no. (2025): 230-239. DOI: https://doi.org/10.54216/IJNS.250419
    Esmet, L. , El-Ityan, M. , Habib, R. (2025) . Geometric Properties of Neutrosophic 𝓆 -Poisson distribution Series through π•»π•žβ„΅ Operator. International Journal of Neutrosophic Science , () , 230-239 . DOI: https://doi.org/10.54216/IJNS.250419
    Esmet L. , El-Ityan M. , Habib R. [2025]. Geometric Properties of Neutrosophic 𝓆 -Poisson distribution Series through π•»π•žβ„΅ Operator. International Journal of Neutrosophic Science. (): 230-239. DOI: https://doi.org/10.54216/IJNS.250419
    Esmet, L. El-Ityan, M. Habib, R. "Geometric Properties of Neutrosophic 𝓆 -Poisson distribution Series through π•»π•žβ„΅ Operator," International Journal of Neutrosophic Science, vol. , no. , pp. 230-239, 2025. DOI: https://doi.org/10.54216/IJNS.250419