Inequalities For The Growth Of Rational Functions With Prescribed Poles

N. A. Rather, Mohmmad Shafi Wani, Danish Rashid Bhat

Let ${\mathcal{R}}_n$ be the set of all rational functions of the type $r(z)=f(z)/w(z)$, where $f(z)$ is a polynomial of degree at most $n$ and $w(z)={\prod }_{j=1}^n(z-{\beta }_j)$, $|…