Analitik fonksiyonların belirli alt sınıfları için hankel, toeplitz ve hermitian-toeplitz determinantları

In this thesis, the subclasses M(α), S_s^* (φ), S_T^* (λ), N(β) and K_S of analytic functions in the unit disk have been defined by means of subordination, and for these classes, coefficient bounds, Hankel, Toeplitz, Hermitian-Toeplitz determinants, and Zalcman estimates have been obtained. The obtained results include the lower and upper bounds of the Hankel, Toeplitz, and Hermitian-Toeplitz determinants determined for each function class and, when compared with the known results in the literature, present more precise results in some cases. This study shows that determinant-based methods can be effectively used in the investigation of analytic function classes.