Fekete-Szegö Inequality for a Subclass of Bi-Univalent Functions Linked to q-Ultraspherical Polynomials

Authors

Abdullah Alsoboh Department of Mathematics, Faculty of Science, Philadelphia University, Amman, Jordan https://orcid.org/0000-0002-5183-2654
Murat Çağlar Department of Mathematics, Faculty of Science, Erzurum Technical University, Erzurum, Turkey https://orcid.org/0000-0001-8147-0343
Mucahit Buyankara Department of Business Management, Vocational School of Social Sciences, Bingöl University, Bingal, Turkey https://orcid.org/0000-0003-2683-9229

DOI:

https://doi.org/10.37256/cm.5220243737

Keywords:

analytic functions, subordination, orthogonal polynomial, <i>q</i>-Ultraspherical polynomials, Fekete-Szegö problem, quantum calculus, univalent, bi-univalent functions

Abstract

In this study, we introduce a new class of bi-univalent functions using q-Ultraspherical polynomials. We derive the Fekete and Szegö functional problems for functions in this new subclass, as well as estimates for the Taylor-Maclaurin coefficients |α₂| and |α₃|. Furthermore, a collection of fresh outcomes is presented by customizing the parameters employed in our initial discoveries.

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Published

2024-05-23

Issue

Contemporary Mathematics, Volume 5 Issue 2 (2024), 1122-2592

Section

Research Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Fekete-Szegö Inequality for a Subclass of Bi-Univalent Functions Linked to q-Ultraspherical Polynomials. Contemp. Math. [Internet]. 2024 May 23 [cited 2025 Dec. 24];5(2):2531-45. Available from: https://ojs353.mebyme.cn/index.php/CM/article/view/3737

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