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math.CV2009
Inequalities for the Polar Derivative of a Polynomial
M. Shakeri, M. Bidkham, M. Eshaghi Gordji
In this paper we obtain new results concerning maximum modulus of the polar derivative of a polynomial with restricted zeros. Our results generalize and refine upon the results of…
math.CV2009
An operator product inequalities for polynomials
M. Ahmadi Baseri, M. Bidkham, M. Eshaghi Gordji
Let be a polynomial of degree . In this paper we define an operator , as following, $$B[P(z)]:=λ_0 P(z)+λ_1 (\frac{nz}{2}) \frac{P'(z)}{1!}+λ_2 (\frac{nz}{2})^2…