Toeplitz and Hankel Determinants for Univalent Functions Subordinate to \mathbf{\cosh z}

This paper establishes upper bounds for the fourth-order Hankel and Toeplitz determinants associated with reciprocal bounded-turning functions that are subordinate to \cosh z, along with their corresponding inverses. Additionally, the Zalcman conjecture is examined for specific values of n within these function classes, and precise upper bounds for the Fekete-Szeg\"{o} inequalities are derived.

کلیدواژه ها:

Coefficient Problems ، Hankel determinant ، Toeplitz Determinants ، Zalcman Conjecture