Two Inclusive Subfamilies of bi-univalent Functions

Tariq; Ala; Jamal; Feras

doi:https://doi.org/10.54216/IJNS.240422

Full Length Article

Volume 24 • Issue 4 • PP: 315-323 • 2024

Two Inclusive Subfamilies of bi-univalent Functions

Tariq Al-Hawary ^1*

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,

Ala Amourah ²

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,

Jamal Salah ³

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,

Feras Yousef ⁴

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¹Department of Applied Science, Ajloun College, Al Balqa Applied University, Ajloun 26816. Jordan. Jadara University Research Center, Jadara University, Jordan.

²Mathematics Education Program, Faculty of Education and Arts, Sohar University, Sohar 3111, Oman. Jadara University Research Center, Jadara University, Jordan.

³College of Applied and Health Sciences, A’Sharqiyah University, Post Box No. 42, Post Code No. 400 Ibra, Sultanate of Oman.

⁴Department of Mathematics, The University of Jordan, Amman 11942, Jordan. School of Engineering, Math & Technology, Navajo Technical University, Crownpoint, NM 87313, USA. Jadara University R

* Corresponding Author.

DOI https://doi.org/10.54216/IJNS.240422

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Received: September 18, 2023 Revised: February 15, 2024 Accepted: June 09, 2024

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Abstract

The aim of this article is to establish two new and qualitative subfamilies F(ε, κ, ℵ) and G(ε, κ, ℵ) of biunivalent functions. For functions in these subfamilies, we determine the first two Maclaurin coefficient estimations |C2| and |C3|, and address the Fekete–Szeg¨o problem. Additionally, we mention some corollaries related to the main results.

Keywords

Analytic function Univalent and bi-univalent functions Fekete-Szeg&uml o problem.

References

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Al-Hawary, Tariq, Amourah, Ala, Salah, Jamal, Yousef, Feras. "Two Inclusive Subfamilies of bi-univalent Functions." International Journal of Neutrosophic Science, vol. Volume 24, no. Issue 4, 2024, pp. 315-323. DOI: https://doi.org/10.54216/IJNS.240422

Al-Hawary, T., Amourah, A., Salah, J., Yousef, F. (2024). Two Inclusive Subfamilies of bi-univalent Functions. International Journal of Neutrosophic Science, Volume 24(Issue 4), 315-323. DOI: https://doi.org/10.54216/IJNS.240422

Al-Hawary, Tariq, Amourah, Ala, Salah, Jamal, Yousef, Feras. "Two Inclusive Subfamilies of bi-univalent Functions." International Journal of Neutrosophic Science Volume 24, no. Issue 4 (2024): 315-323. DOI: https://doi.org/10.54216/IJNS.240422

Al-Hawary, T., Amourah, A., Salah, J., Yousef, F. (2024) 'Two Inclusive Subfamilies of bi-univalent Functions', International Journal of Neutrosophic Science, Volume 24(Issue 4), pp. 315-323. DOI: https://doi.org/10.54216/IJNS.240422

Al-Hawary T, Amourah A, Salah J, Yousef F. Two Inclusive Subfamilies of bi-univalent Functions. International Journal of Neutrosophic Science. 2024;Volume 24(Issue 4):315-323. DOI: https://doi.org/10.54216/IJNS.240422

T. Al-Hawary, A. Amourah, J. Salah, F. Yousef, "Two Inclusive Subfamilies of bi-univalent Functions," International Journal of Neutrosophic Science, vol. Volume 24, no. Issue 4, pp. 315-323, 2024. DOI: https://doi.org/10.54216/IJNS.240422

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