On the region containing the zeros of a polynomial with restricted coefficients

For the polynomial P(z) =∑_(j=0)^n▒〖a_j z^j 〗 , aj ≥ aj−1, a0 > 0, j = 1, 2, ..., n, an > 0, a classical result of Enestro¨m and Kakeya says that all the zeros of P (z) lie in |z| ≤ 1. In the literature [1-12], there exist several extensions and generalizations of this result. Recently N.A.Rather and M.A.Shah [12] generalized it by further relaxing the condition on the coefficients. In this paper, we prove some more extensions and generalizations of the above results and hence of Enestro¨m and Kakeya theorem