2023, Vol. 4, Issue 1, Part A
On the number of zeroes of a polynomial with restricted real Co-efficient
Author(s): Aijaz Ahmad, Muzamil Jallal and Rajnee Tripathi
Abstract: The well-known theorem in theory of distribution of zeros of a polynomial due to Enestrom – Kakeya states that if P(z)=a_n z^n+a_(n-1) z^(n-1)+⋯a_1 z+a_0 be a polynomial of degree n, satisfying a_n≥a_(n-1)≥⋯≥a_1≥a_0>0 Then all the zeroes of P(z) lie in |z|≤1. In this paper we will extend Enestrom – Kakeya theorem by relaxing the restrictions on the coefficients of a polynomial in several ways and thereby present a result on zero free region of a polynomial to certain condition.
Pages: 10-14 | Views: 236 | Downloads: 92
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How to cite this article:
Aijaz Ahmad, Muzamil Jallal and Rajnee Tripathi. On the number of zeroes of a polynomial with restricted real Co-efficient. Journal of Mathematical Problems, Equations and Statistics. 2023; 4(1): 10-14.