Fekete-Szeg¨o Inequalities for a New Class of Bi-Univalent Functions Defined via the Mittag-Leffler Function
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.
Authors
- Abdullah Alsoboh (ORCID: https://orcid.org/0000-0002-5183-2654)
- Ala Amourah (ORCID: https://orcid.org/0000-0001-9287-7704)
- Suha Hammad
- Mohammad Al-Ityan
- Mohammad Bani Raba'a
Institutions
- Shaqra University (SA)
- Al-Balqa Applied University (JO)
- College of Applied Sciences, Nizwa (OM)
- Sohar University (OM)
- University of Tikrit (IQ)
- Irbid National University (JO)
Publication Details
- Journal
- European Journal of Pure and Applied Mathematics
- Published
- 2025-05-01
- DOI
- https://doi.org/10.29020/nybg.ejpam.v18i2.6064
- Citations
- 2
- Primary Topic
- Analytic and geometric function theory
- Type
- article
- Field-Weighted Citation Impact
- 8.18