Zeros of Harmonic Polynomials and Related Applications
| dc.contributor.advisor | Catherine Beneteau | |
| dc.contributor.author | AZIZAH HASSAN ALRAJHI | |
| dc.date | 2000 | |
| dc.date.accessioned | 2022-06-04T18:42:34Z | |
| dc.date.available | 2022-02-25 09:29:11 | |
| dc.date.available | 2022-06-04T18:42:34Z | |
| dc.description.abstract | In this thesis, we study topics related to harmonic functions, where we are interested in the maximum number of solutions of a harmonic polynomial equation and how it is related to gravitational lensing. In Chapter 2, we study the conditions that we should have on the real or complex coefficients of a polynomial p to get the maximum number of distinct solutions for the equation p(z) z2 = 0, where deg p = 2. In Chapter 3, we discuss the lens equation when the lens is an ellipse, a limac on, or a Neumann Oval. Also, we give a counterexample to a conjecture by C. B en eteau and N. Hudson in [2]. We also discuss estimates related to the maximum number of solutions for the lens equation for the Neumann Oval. | |
| dc.format.extent | 99 | |
| dc.identifier.other | 110288 | |
| dc.identifier.uri | https://drepo.sdl.edu.sa/handle/20.500.14154/64339 | |
| dc.language.iso | en | |
| dc.publisher | Saudi Digital Library | |
| dc.title | Zeros of Harmonic Polynomials and Related Applications | |
| dc.type | Thesis | |
| sdl.degree.department | Applied Mathematics | |
| sdl.degree.grantor | College of Arts and sciences | |
| sdl.thesis.level | Doctoral | |
| sdl.thesis.source | SACM - United States of America |