Year: 2025
Type: article
Abstract: 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
Authors: Humayun Sofi, Narendra Kumar -
Institution: NIMS University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4410852009