Abstract Let f be analytic in $$\mathbb {D}=\{z\in \mathbb {C}:|z|<1\}$$ D = { z ∈ C : | < 1 } , and given by $...

Introducing a new method, we give sharp estimates of the Hermitian Toeplitz determinants third order for class S functions univalent in unit disc. The approach is also illustrated on some subclasses S.