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International Journal of Neutrosophic Science

Volume 25 , Issue 1 , PP: 228-238, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

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

Ala Amourah 1 * , Tariq Al-Hawary 2 , Feras Yousef 3 , Jamal Salah 4

  • 1 Mathematics Education Program, Faculty of Education and Arts, Sohar University, Sohar 3111, Oman; Jadara Research Center, Jadara University, Irbid 21110, Jordan. - (AAmourah@su.edu.om)
  • 2 Department of Applied Science, Ajloun College, Al-Balqa Applied University, Ajloun 26816. Jordan; Jadara Research Center, Jadara University, Irbid 21110, Jordan. - (tariq amh@bau.edu.jo)
  • 3 Department of Mathematics, The University of Jordan, Amman 11942, Jordan; Jadara Research Center, Jadara University, Irbid 21110, Jordan - (fyousef@ju.edu.jo)
  • 4 College of Applied and Health Sciences, A’Sharqiyah University, Post Box No. 42, Post Code No. 400 Ibra, Sultanate of Oman - (damous73@yahoo.com)

    • Doi: https://doi.org/10.54216/IJNS.250121

    Received: December 18, 2023 Revised: February 05, 2024 Accepted: June 26, 2024
    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¨ , o problem.

      ,

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    Cite This Article As :
    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. , no. , 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, (), 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 , no. (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 , () , 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. (): 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, vol. , no. , pp. 228-238, 2024. DOI: https://doi.org/10.54216/IJNS.250121

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