Perturbation on Polynomials

Ismaila Diouf, Babacar Diakhate, Abdoul O. Watt


For univariate polynomials with complex coefficients there are many estimates about the roots of polynomials. Moreover, the result corresponding to the ``continuity of the zeroes which respect to the coefficients'' is generally obtained as a corollary of Rouch\'e's theorem and is rarely precise. Here we prove an explicit result for algebraically closed fields with an absolute value, in any characteristic.

Full Text:



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

Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

Copyright © Canadian Center of Science and Education

To make sure that you can receive messages from us, please add the '' domain to your e-mail 'safe list'. If you do not receive e-mail in your 'inbox', check your 'bulk mail' or 'junk mail' folders.