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Some inequalities for the polar derivative of a polynomial with restricted zeros

Zireh A., Hosseini S. A.

Journal of Mathematics and Applications

2014

Vol. 37

119--129

Let p(z) be a polynomial of degree n and for any complex number (alfa), D(alfa)p(z) = np(z)+(alfa-z)p′(z) denote the polar derivative of the polynomial p(z) with respect to. In this paper, we obtain new results concerning maximum modulus of the polar derivative of a polynomial with restricted zeros. Our result generalize certain well-known polynomial inequalities.