Affiliation:
1. Department of Mathematics , University of Kashmir , Srinagar - India
Abstract
Abstract
Let
P
(
z
)
=
∑
j
=
0
n
a
j
z
j
P\left( z \right) = \sum\nolimits_{j = 0}^n {{a_j}{z^j}}
be a polynomial of degree n such that a
n
≥ a
n−
1 ≥ . . . ≥ a
1 ≥ a
0 ≥ 0. Then according to Eneström-Kakeya theorem all the zeros of P (z) lie in |z| ≤ 1. This result has been generalized in various ways (see [1, 3, 4, 6, 7]). In this paper we shall prove some generalizations of the results due to Aziz and Zargar [1, 2] and Nwaeze [7].
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