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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science
Full Length Article

Volume 26 • Issue 1 • PP: 33-39 • 2025

Subfamilies of analytic functions associated with Rabotnov function

Ahlam Fallatah 1*
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,
Tariq Al-Hawary 2
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,
Mourad Oqla Massa’deh 2
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,
Feras Yousef 3
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1Department of Mathematics, College of Sciences, Taibah University, Madinah, Saudi Arabia
2Department of Applied Science, Ajloun College, Al Balqa Applied University, Ajloun 26816, Jordan
3Department of Mathematics, The University of Jordan, Amman 11942, Jordan; Department of Mathematics, Hampton University, Hampton, VA 23669, USA
* Corresponding Author.
DOI https://doi.org/10.54216/IJNS.260103
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Received: October 23, 2024 Revised: January 02, 2025 Accepted: January 28, 2025
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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.

 

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Fallatah, Ahlam, Al-Hawary, Tariq, Massa’deh, Mourad Oqla, Yousef, Feras. "Subfamilies of analytic functions associated with Rabotnov function." International Journal of Neutrosophic Science, vol. Volume 26, no. Issue 1, 2025, pp. 33-39. DOI: https://doi.org/10.54216/IJNS.260103
Fallatah, A., Al-Hawary, T., Massa’deh, M., Yousef, F. (2025). Subfamilies of analytic functions associated with Rabotnov function. International Journal of Neutrosophic Science, Volume 26(Issue 1), 33-39. DOI: https://doi.org/10.54216/IJNS.260103
Fallatah, Ahlam, Al-Hawary, Tariq, Massa’deh, Mourad Oqla, Yousef, Feras. "Subfamilies of analytic functions associated with Rabotnov function." International Journal of Neutrosophic Science Volume 26, no. Issue 1 (2025): 33-39. DOI: https://doi.org/10.54216/IJNS.260103
Fallatah, A., Al-Hawary, T., Massa’deh, M., Yousef, F. (2025) 'Subfamilies of analytic functions associated with Rabotnov function', International Journal of Neutrosophic Science, Volume 26(Issue 1), pp. 33-39. DOI: https://doi.org/10.54216/IJNS.260103
Fallatah A, Al-Hawary T, Massa’deh M, Yousef F. Subfamilies of analytic functions associated with Rabotnov function. International Journal of Neutrosophic Science. 2025;Volume 26(Issue 1):33-39. DOI: https://doi.org/10.54216/IJNS.260103
A. Fallatah, T. Al-Hawary, M. Massa’deh, F. Yousef, "Subfamilies of analytic functions associated with Rabotnov function," International Journal of Neutrosophic Science, vol. Volume 26, no. Issue 1, pp. 33-39, 2025. DOI: https://doi.org/10.54216/IJNS.260103
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