Degree Name
MS (Master of Science)
Program
Mathematical Sciences
Date of Award
12-2015
Committee Chair or Co-Chairs
Robert Gardner
Committee Members
Robert A. Beeler, Teresa Haynes
Abstract
In this thesis, we explore the effect of restricting the coefficients of polynomials on the bounds for the number of zeros in a given region. The results presented herein build on a body of work, culminating in the generalization of bounds among three classes of polynomials. The hypotheses of monotonicity on each class of polynomials were further subdivided into sections concerning r reversals among the moduli, real parts, and both real and imaginary parts of the coefficients.
Document Type
Thesis - unrestricted
Recommended Citation
Bryant, Derek T., "The Number of Zeros of a Polynomial in a Disk as a Consequence of Coefficient Inequalities with Multiple Reversals" (2015). Electronic Theses and Dissertations. Paper 2579. https://dc.etsu.edu/etd/2579
Copyright
Copyright by the authors.