International Journal of Advances in Mathematics
International Journal of Advances in Mathematics
2456-6098
Volume 2018
Number 1
2018
January
1
Generalizations of Enestr\"{o}m-Kakeya Theorem
109
119
EN
Gulshan
Singh
Government Department of Education,\\
Jammu and Kashmir, India.
gulshansingh1@rediffmail.com
If $P(z):=\sum_{j=0}^{n} \alpha_{j}z^{j}$ be a polynomial of degree n such that
$ \alpha_{j}=a_{j}+ib_{j} $ where $a_{j}$ and $b_{j}$, j=0,1,...,n are real numbers. In this paper, we prove some extensions and generalizations of the classical results of the well known Enestr\"{o}m-Kakeya theorem by imposing restrictions on the complex coefficients of a polynomial in order to give bounds concerning the number of zeros in a specific region of the complex plane. Also, a variety of interesting results can be deduced from them by a uniform procedure.
Polynomial, Zeros, Enestr\"{o}m-Kakeya theorem.
http://adv-math.com/gulshan-singh-generalizations-enestr%C2%A8om-kakeya-theorem-volume-2018-number-1-pages-109-119-2018/
http://adv-math.com/wp-content/uploads/2018/01/LOCATIONGULSHAN2012.pdf