Fekete-Szegö type functionals associated with certain subclasses of bi-univalent functions

Sa'ud Al-Sa'di; Ibrar Ahmad; Syed Ghoos Ali Shah; Saqib Hussain; Saima Noor

doi:10.1016/j.heliyon.2024.e28074

Fekete-Szegö type functionals associated with certain subclasses of bi-univalent functions

Heliyon. 2024 Mar 18;10(7):e28074. doi: 10.1016/j.heliyon.2024.e28074. eCollection 2024 Apr 15.

Authors

Sa'ud Al-Sa'di¹, Ibrar Ahmad², Syed Ghoos Ali Shah², Saqib Hussain², Saima Noor^{3

4}

Affiliations

¹ Department of Mathematics, Faculty of Science, The Hashemite University, Zarqa, 13133, Jordan.
² Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, 22060, Pakistan.
³ Department of Basic Sciences, General Administration of Preparatory Year, King Faisal University, P.O. Box 400, Al Ahsa 31982, Saudi Arabia.
⁴ Department of Mathematics and Statistics, College of Science, King Faisal University, P.O. Box 400, Al Ahsa 31982, Saudi Arabia.

Abstract

In this article, we define and discuss some new subclasses of bi-univalent functions associated with Fibonacci numbers and shell-like curves. We estimate the first two Taylor-Maclaurin coefficients for functions belonging to these classes. We study the inequalities related with Fekete-Szegö type. Furthermore, we point out some corollaries related to existing result.

Keywords: 30C45; 30C50; Analytic functions; Bi-univalent functions; Coefficient bounds; Fekete-Szegö functional; Fibonacci numbers; Shell-like curves; q-Difference operator.