@article{Bakić_2024, place={Sofia, Bulgaria}, title={On the Coincidence Theorem}, volume={77}, url={https://proceedings.bas.bg/index.php/cr/article/view/493}, DOI={10.7546/CRABS.2024.03.01}, abstractNote={<p>We are proving Coincidence theorem due to Walsh for the case when the total degree of a polynomial is less than the number of arguments. Also, the following result has been proven: if $$p(z)$$ is a complex polynomial of degree $$n$$, then closed disk D that contains at least $$n-1$$ of its zeros (counting multiplicity) contains at least $$\left[\frac{n-2k+1}{2} \right]$$ zeros of its $$k$$-th derivative, provided that the arithmetical mean of these zeros is also centre of D. We also prove a variation of the classical composition theorem due to Szegö.</p>}, number={3}, journal={Proceedings of the Bulgarian Academy of Sciences}, author={Bakić, Radoš}, year={2024}, month={Mar.}, pages={325–329} }