International Journal For Multidisciplinary Research

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

Author(s) Mr. Humayun Mohd Sofi, Narendra Kumar
Country India
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
Keywords Polynomial, Zeros, EnestrÖm and Kakeya theorem.
Field Mathematics
Published In Volume 7, Issue 3, May-June 2025
Published On 2025-05-23
DOI https://doi.org/10.36948/ijfmr.2025.v07i03.45730
Short DOI https://doi.org/g9mn2c
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