Some Estimates for Holomorphic Functions at the Boundary of the Unit Disc


B. N. Ornek




In this paper, for holomorphic function $f(z)=z+c_{2}z^{2}+c_{3}z^{3}+\cdots$ belong to the class of $\mathcal{N}(\lambda)$, it has been estimated from below the modulus of the angular derivative of the function $\frac{zf'(z)}{f(z)}$ on the boundary point of the unit disc.