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The Number of Zeros of a Polynomial in a Disk as a Consequence of Coefficient Inequalities with Multiple ReversalsBryant, Derek T 01 December 2015 (has links)
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.
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