On the Zeros of Polynomials with Complex Coefficients


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Authors

  • P. Ramulu Department of Mathematics, M.V.S Govt. Arts and Science College (Autonomous), Mahabubnagar, Telangana, India
  • G. L. Reddy School of Mathematics and Statistics, University of Hyderabad, Telangana, India
  • C. Gangadhar School of Mathematics and Statistics, University of Hyderabad, Telangana, India

Keywords:

Zeros of polynomial, Enestr\

Abstract

In this paper we prove some extension of the Enestr\"{o}m-Kakeya theorem (Let $ P(z)=\sum\limits_{i=0}^{n} a_iz^i$ be a polynomial of degree $n$ such that $0\textless {a_0}\leq {a_1}\leq...\leq{a_n}$ then all the zeros of P(z) lie in $|z|\leq{1}$) by relaxing the hypothesis in different ways we get various other results which in term generalizes.

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Published

15-06-2020

How to Cite

P. Ramulu, G. L. Reddy, & C. Gangadhar. (2020). On the Zeros of Polynomials with Complex Coefficients. International Journal of Mathematics And Its Applications, 8(2), 7–13. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/152

Issue

Vol. 8 No. 2 (2020)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.