Let p (z) be a polynomial of degree n and a be any real or complex number, the polar derivative of p(z) , denoted by D p(z) a , is defined as…

# Tag: polar derivative of a polynomial

## Extension of Ordinary Inequalities of Polynomial to Polar Derivative

Let p(z) be a polynomial of degree n and for a complex number α, let Dαp(z) = np(z)+(α-z)p′(z) denote the polar derivative of the polynomial p(z) with respect to α.It is of…