On the Derivative with Respect to a Point
On the Derivative with Respect to a Point
The derivative of a polynomial $p(z)$ with respect to a point $\varsigma$ is defined by the formula ${A_\varsigma }p(z) = (\varsigma - z)pâ(z) + np(z)$, where $n$ is the degree of the polynomial. Let $p(z)$ have all its zeros in the unit disk and one zero at $z = 1$. …