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.
Identifer | oai:union.ndltd.org:ETSU/oai:dc.etsu.edu:etd-3964 |
Date | 01 December 2015 |
Creators | Bryant, Derek T |
Publisher | Digital Commons @ East Tennessee State University |
Source Sets | East Tennessee State University |
Language | English |
Detected Language | English |
Type | text |
Format | application/pdf |
Source | Electronic Theses and Dissertations |
Rights | Copyright by the authors. |
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