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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science

Volume 26 , Issue 1 , PP: 33-39, 2025 | Cite this article as | XML | Html | PDF | Full Length Article

Subfamilies of analytic functions associated with Rabotnov function

Ahlam Fallatah 1 , Tariq Al-Hawary 2 , Mourad Oqla Massa’deh 3 , Feras Yousef 4

  • 1 Department of Mathematics, College of Sciences, Taibah University, Madinah, Saudi Arabia - (Afallatah@taibahu.edu.sa)
  • 2 Department of Applied Science, Ajloun College, Al Balqa Applied University, Ajloun 26816, Jordan - (tariq amh@bau.edu.jo)
  • 3 Department of Applied Science, Ajloun College, Al Balqa Applied University, Ajloun 26816, Jordan - (mourad.oqla@bau.edu.jo)
  • 4 Department of Mathematics, The University of Jordan, Amman 11942, Jordan; Department of Mathematics, Hampton University, Hampton, VA 23669, USA - (fyousef@ju.edu.jo)

    • Doi: https://doi.org/10.54216/IJNS.260103

    Received: October 23, 2024 Revised: January 02, 2025 Accepted: January 28, 2025
    Abstract

    The aim of this paper is to investigate various subfamilies of analytic functions to find inclusion properties, and necessary and sufficient conditions for the Rabotnov function to be in these subfamilies. Furthermore, several corollaries will be implied from our main results.

    Keywords :

    Analytic , Starlike , Convex , Rabotnov function

    References

    [1] Y. N. Rabotnov, Equilibrium of an elastic medium with after-effect (in Russian), Prikladnaya Matematika i Mekhanika (J. Appl. Math. Mech.), 12(1) (1948), 53-62.

    [2] V. P. Gupta, P. K. Jain, Certain classes of univalent functions with negative coefficents II, Bull. Aust. Math. Soc., 15 (1976), 467-473.

    [3] V. P. Gupta, P. K. Jain, Certain classes of univalent functions with negative coefficents I, Bull. Aust. Math. Soc., 14 (1976), 409-416.

    [4] H. Silverman, Univalent functions with negative coefficents, Proc. Amer. Math. Soc., 51 (1975), 109-116.

    [5] A. Hussen, A. Zeyani, Coefficients and Fekete–Szeg¨o functional estimations of bi-univalent subclasses based on Gegenbauer polynomials, Mathematics, 11(13) (2023), 2852.

    [6] M. Illafe, A. Amourah, M. Haji Mohd, Coefficient estimates and Fekete–Szeg¨o functional inequalities for a certain subclass of analytic and bi-univalent functions, Axioms, 11(4) (2022), 147.

    [7] S. S. Eker, S. Ece, Geometric properties of normalized Rabotnov function, Hacettepe Journal of Mathematics and Statistics, 51(5) (2022), 1248-1259.

    [8] T. Al-Hawary, I. Aldawish, B. A. Frasin, O. Alkam, F. Yousef, Necessary and Sufficient Conditions for Normalized Wright Functions to Be in Certain Classes of Analytic Functions, Mathematics, 10 (24)(2022), 4693.

    [9] A. Swaminathan, Certain sufficient conditions on Gaussian hypergeometric functions, Journal of Inequalities in Pure and Applied Mathematics, 5(4) (2004), Art. 83, 1-10.

     

    Cite This Article As :
    Fallatah, Ahlam. , Al-Hawary, Tariq. , Oqla, Mourad. , Yousef, Feras. Subfamilies of analytic functions associated with Rabotnov function. International Journal of Neutrosophic Science, vol. , no. , 2025, pp. 33-39. DOI: https://doi.org/10.54216/IJNS.260103
    Fallatah, A. Al-Hawary, T. Oqla, M. Yousef, F. (2025). Subfamilies of analytic functions associated with Rabotnov function. International Journal of Neutrosophic Science, (), 33-39. DOI: https://doi.org/10.54216/IJNS.260103
    Fallatah, Ahlam. Al-Hawary, Tariq. Oqla, Mourad. Yousef, Feras. Subfamilies of analytic functions associated with Rabotnov function. International Journal of Neutrosophic Science , no. (2025): 33-39. DOI: https://doi.org/10.54216/IJNS.260103
    Fallatah, A. , Al-Hawary, T. , Oqla, M. , Yousef, F. (2025) . Subfamilies of analytic functions associated with Rabotnov function. International Journal of Neutrosophic Science , () , 33-39 . DOI: https://doi.org/10.54216/IJNS.260103
    Fallatah A. , Al-Hawary T. , Oqla M. , Yousef F. [2025]. Subfamilies of analytic functions associated with Rabotnov function. International Journal of Neutrosophic Science. (): 33-39. DOI: https://doi.org/10.54216/IJNS.260103
    Fallatah, A. Al-Hawary, T. Oqla, M. Yousef, F. "Subfamilies of analytic functions associated with Rabotnov function," International Journal of Neutrosophic Science, vol. , no. , pp. 33-39, 2025. DOI: https://doi.org/10.54216/IJNS.260103

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