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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science
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Volume 25 • Issue 1 • PP: 228-238 • 2024

Collection of Bi-Univalent Functions Using Bell Distribution Associated With Jacobi Polynomials

Ala Amourah 1*
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,
Tariq Al-Hawary 2
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,
Feras Yousef 3
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,
Jamal Salah 4
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1Mathematics Education Program, Faculty of Education and Arts, Sohar University, Sohar 3111, Oman; Jadara Research Center, Jadara University, Irbid 21110, Jordan.
2Department of Applied Science, Ajloun College, Al-Balqa Applied University, Ajloun 26816. Jordan; Jadara Research Center, Jadara University, Irbid 21110, Jordan.
3Department of Mathematics, The University of Jordan, Amman 11942, Jordan; Jadara Research Center, Jadara University, Irbid 21110, Jordan
4College of Applied and Health Sciences, A’Sharqiyah University, Post Box No. 42, Post Code No. 400 Ibra, Sultanate of Oman
* Corresponding Author.
DOI https://doi.org/10.54216/IJNS.250121
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© 2024 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received: December 18, 2023 Revised: February 05, 2024 Accepted: June 26, 2024
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Abstract

The aim of this study is to present novel collections of bi-univalent functions, which are characterized using the Bell Distribution. These collections are delineated through the application of Jacobi polynomials. We have established bounds for the Taylor-Maclaurin coefficients, particularly |a2| and |a3|. Additionally, we have investigated the Fekete-Szeg¨o functional issues pertinent to functions within these subclasses. By concentrating on particular parameters in our principal findings, we have identified numerous new insights.

 

Keywords

Jacobi polynomials analytic functions univalent functions bi-univalent functions Fekete-Szeg&uml o problem. &nbsp

References

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format_quote
Amourah, Ala, Al-Hawary, Tariq, Yousef, Feras, Salah, Jamal. "Collection of Bi-Univalent Functions Using Bell Distribution Associated With Jacobi Polynomials." International Journal of Neutrosophic Science, vol. Volume 25, no. Issue 1, 2024, pp. 228-238. DOI: https://doi.org/10.54216/IJNS.250121
Amourah, A., Al-Hawary, T., Yousef, F., Salah, J. (2024). Collection of Bi-Univalent Functions Using Bell Distribution Associated With Jacobi Polynomials. International Journal of Neutrosophic Science, Volume 25(Issue 1), 228-238. DOI: https://doi.org/10.54216/IJNS.250121
Amourah, Ala, Al-Hawary, Tariq, Yousef, Feras, Salah, Jamal. "Collection of Bi-Univalent Functions Using Bell Distribution Associated With Jacobi Polynomials." International Journal of Neutrosophic Science Volume 25, no. Issue 1 (2024): 228-238. DOI: https://doi.org/10.54216/IJNS.250121
Amourah, A., Al-Hawary, T., Yousef, F., Salah, J. (2024) 'Collection of Bi-Univalent Functions Using Bell Distribution Associated With Jacobi Polynomials', International Journal of Neutrosophic Science, Volume 25(Issue 1), pp. 228-238. DOI: https://doi.org/10.54216/IJNS.250121
Amourah A, Al-Hawary T, Yousef F, Salah J. Collection of Bi-Univalent Functions Using Bell Distribution Associated With Jacobi Polynomials. International Journal of Neutrosophic Science. 2024;Volume 25(Issue 1):228-238. DOI: https://doi.org/10.54216/IJNS.250121
A. Amourah, T. Al-Hawary, F. Yousef, J. Salah, "Collection of Bi-Univalent Functions Using Bell Distribution Associated With Jacobi Polynomials," International Journal of Neutrosophic Science, vol. Volume 25, no. Issue 1, pp. 228-238, 2024. DOI: https://doi.org/10.54216/IJNS.250121
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