Recently Rather et al.[18] considered the generalized polar derivative and studied the
relative position of zeros of the generalized polar derivative with respect to the zeros of the …

On a refinement of Turán’s inequality | SpringerLink Skip to main content Advertisement
SpringerLink Log in Menu Find a journal Publish with us Search Cart 1.Home 2.Complex …

arXiv:1904.05302v1 [math.CV] 10 Apr 2019 Page 1 arXiv:1904.05302v1 [math.CV] 10 Apr
2019 INEQUALITIES FOR THE DERIVATIVE OF POLYNOMIALS WITH RESTRICTED ZEROS …

For rational functions, where is a polynomial of degree at the most and, with we use simple
but elegant techniques to strengthen generalizations of certain results which extend some …

Some Lower Bound Estimates for the Polar Derivatives of Polynomials with Restricted Zeros
Page 1 J. Ana. Num. Theor. 9, No. 1, 1-5 (2021) 1 Journal of Analysis & Number Theory An …

Let ℜn be the set of all rational functions of the type r (z)= p (z)/w (z), where p (z) is a
polynomial of degree at most n and w (z)=∏ nj= 1 (z− aj),| aj|> 1 for 1≤ j≤ n. In this paper …

If P (z)= an∏ j= 1 n (z-zj) is a complex polynomial of degree n having all its zeros in| z|≤ K,
K≥ 1, it is known that max| z|= 1| P′(z)|≥ 2 1+ K n∑ j= 1 n KK+| zj| max| z|= 1| P (z)|. In this …

arXiv:2102.01376v1 [math.CV] 2 Feb 2021 Some remarks on rotation theorems for complex
polynomials Page 1 arXiv:2102.01376v1 [math.CV] 2 Feb 2021 Some remarks on rotation …

In this paper some sharp lower bound estimates for the maximal modulus of $ p'(z) $ and
polar derivative of $ p (z) $ are established in terms of their degrees, coefficients and …

In this paper, certain new results concerning the maximum modulus of the polar derivative
and the generalized polar derivative of a polynomial with restricted zeros are obtained …