On the zeros of certain composite polynomials and an operator preserving inequalities

N. A. Rather, Ishfaq Dar, Suhail Gulzar

If all the zeros of $n$th degree polynomials $f(z)$ and $g(z)={\sum }_{k=0}^n\hat{I}{»}_k\left(\genfrac{}{}{0ex}{}{n}{k}\right)z^k$ respectively lie in the cricular regions $|z|\le r$ and $|z|\le s|z-\ddot{I}ƒ|$, $s>0…