Fekete-Szeg¨o Inequalities for a New Class of Bi-Univalent Functions Defined via the Mittag-Leffler Function

Authors

  • Ala Amourah Department of Mathematics, Faculty of Education and Arts, Sohar University, Sohar 3111, Sultanate of Oman,
  • Mohammad Al-Ityan Department of Mathematics, Faculty of Science, Al-Balqa Applied University, 19117, Salt, Jordan
  • Abdullah Alsoboh College of Applied and Health Sciences, A’Sharqiyah University, Post Box No. 42, Post Code No. 400, Ibra, Sultanate of Oman
  • Mohammad Bani Raba'a Department of Mathematics, Faculty of Science and Technology, Irbid National University, Irbid, Jordan
  • Suha Hammad Department of Mathematics, College of Education for Pure Sciences –University of Tikrit, Iraq

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i2.6064

Keywords:

Mittag-Leffler, Fekete-Szegö inequalities, Analytic Functions, $(p, q)$-derivative.

Abstract

In this paper, we introduce a new subclass of analytic functions denoted byMp,qΣ (∝, β), where we use the subordination relationship between the Mittag-Leffler function and the (p, q)-derivative of F(z) to define this new class. By employing the Taylor-Maclaurin series expansion, we focus on estimating the bounds for the coefficients |a2| and |a3|. Moreover, we establish Fekete Szeg¨o inequalities for functions within this class.

Author Biography

  • Ala Amourah, Department of Mathematics, Faculty of Education and Arts, Sohar University, Sohar 3111, Sultanate of Oman,

    Applied Science Research Center, Applied Science Private University, Amman, Jordan.

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Published

2025-05-01

Issue

Vol. 18 No. 2: (April 2025)

Section

Complex Analysis

License

Copyright (c) 2025 Ala Amourah, Mohammad Al-Ityan, Abdullah Alsoboh, Mohammad Bani Raba'a, Suha Hammad

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How to Cite

Fekete-Szeg¨o Inequalities for a New Class of Bi-Univalent Functions Defined via the Mittag-Leffler Function. (2025). European Journal of Pure and Applied Mathematics, 18(2), 6064. https://doi.org/10.29020/nybg.ejpam.v18i2.6064