BYU

Abstract by Alexandra Hudson

Personal Infomation


Presenter's Name

Alexandra Hudson

Co-Presenters

Blake Sampson

Degree Level

Undergraduate

Co-Authors

Blake Sampson

Abstract Infomation


Department

Mathematics

Faculty Advisor

Jennifer Brooks
Michael Dorff

Title

Zeros of Complex Harmonic Polynomials Part 3: Future Directions

Abstract

The next step in our research is to develop proof techniques for the general case. In complex analysis we cover Rouche's Theorem which assists with counting and locating zeros of analytic functions. In order to use the harmonic version of Rouche's Theorem, we need to understand the function called the complex dilatation. In this section we are going to explore conjectures we have formed using the complex dilatation.