Second Hankel determinant for certain subclasses of bi-univalent functions involving Chebyshev polynomials

Authors: HALİT ORHAN, EVRİM TOKLU, EKREM KADIOĞLU

Abstract: In this paper our purpose is to find the upper bound estimate for the second Hankel determinant $|a_{2}a_{4}-a_{3}^{2}|$ for functions defined by convolution belonging to the class $\mathcal{N}_{\sigma}^{\mu,\delta}(\lambda,t)$ by using Chebyshev polynomials.

Keywords: Univalent function, bi-univalent function, coefficient bounds, Chebyshev polynomial, Hankel determinant, convolution

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