MS (Master of Science)
Date of Award
Committee Chair or Co-Chairs
Robert A. Beeler, Teresa Haynes
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.
Thesis - Open Access
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 by the authors.