@article { author = {Soliman Mezerji‎, H. A. and Ahamadi, S. and Bidkham, M.}, title = {Some compact generalization of inequalities for polynomials with prescribed zeros}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {43}, number = {1}, pages = {163-170}, year = {2017}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {‎Let $p(z)=z^s h(z)$ where $h(z)$ is a polynomial‎ ‎of degree at most $n-s$ having all its zeros in $|z|\geq k$ or in $|z|\leq k$‎. ‎In this paper we obtain some new results about the dependence of $|p(Rz)|$ on $|p(rz)| $ for $r^2\leq rR\leq k^2$‎, ‎$k^2 \leq rR\leq R^2$ and for $R\leq r \leq k$‎. ‎Our results refine and generalize certain well-known polynomial inequalities‎.}, keywords = {Polynomial,Inequality,Zeros}, url = {http://bims.iranjournals.ir/article_1003.html}, eprint = {http://bims.iranjournals.ir/article_1003_d592347981a519ad897b7a527448ae58.pdf} }