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
Affiliations
Sa'ud Al-Sa'di
Department of Mathematics, Faculty of Science, The Hashemite University, Zarqa, 13133, Jordan; Corresponding author.
Ibrar Ahmad
Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, 22060, Pakistan
Syed Ghoos Ali Shah
Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, 22060, Pakistan
Saqib Hussain
Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, 22060, Pakistan
Saima Noor
Department of Basic Sciences, General Administration of Preparatory Year, King Faisal University, P.O. Box 400, Al Ahsa 31982, Saudi Arabia; Department of Mathematics and Statistics, College of Science, King Faisal University, P.O. Box 400, Al Ahsa 31982, Saudi Arabia
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.