TY - JOUR
ID - 90790
TI - On the Zeros of the Polar Derivative of a Polynomial
JO - Communications in Nonlinear Analysis
JA - CNA
LA - en
SN -
AU - Gulzar, M.
AU - Zargar, B.
AU - Akhter, R.
AD - Department of Mathematics, University of Kashmir, Srinagar 190006, Jammu & Kashmir, India
Y1 - 2019
PY - 2019
VL - 6
IS - 1
SP - 32
EP - 39
KW - Coeﬃcients
KW - Polynomial
KW - Polar Derivative
DO -
N2 - Let P(z) be a polynomial of degree n whose coefficients satisfy an ≥ an−1 ≥ ... ≥ a0 > 0.Then according to the Enstrom-Kakeya Theorem, all the zeros of P(z) lie in |z|≤ 1. Aziz and Mohammad have shown that under the same condition on coeﬃents the zeros of P(z) whose modulus is greater than or equal to n/(n+1) are simple. In this paper, we extend the above result to the polar derivative.
UR - http://www.cna-journal.com/article_90790.html
L1 - http://www.cna-journal.com/article_90790_2852e2deafb164d3d3a16c46e2963ff7.pdf
ER -