Sangawi, Ali W. K. and Nazar, Kashif and Murid, Ali Hassanmohamed (2015) A numerical method for locating the zeros of ahlfors map for doubly connected regions. In: Proceedings of the 2nd International Conference on Soft Computing & Computational Mathematics (ICSCCM 2015), 10-11 Dec, 2015, Langkawi, Malaysia.
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Official URL: http://www.icsccm.com/2015/WB/
Abstract
The Ahlfors map and Szeg¨o kernel are both classically related to each other. Ahlfors map can be computed using Szeg¨o kernel without relying on the zeros of Ahlfors map. The Szeg¨o kernel is a solution of a Fredholm integral equation of the second kind with the Kerzman-Stein kernel. The exact zeros of the Ahlfors map are unknown except for the annulus region. This paper presents a numerical method for computing the zeros of the Ahlfors map of any bounded doubly connected region. The method depends on the values of Szeg¨o kernel, its derivative and the derivative of boundary correspondence function of Ahlfors map. The numerical examples presented here prove the effectiveness of the proposed method.
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Uncontrolled Keywords: | ahlfors map, neumann kernel |
| Subjects: | Q Science > QA Mathematics > QA75 Electronic computers. Computer science |
| Divisions: | Science |
| ID Code: | 61627 |
| Deposited By: | Widya Wahid |
| Deposited On: | 25 Apr 2017 06:54 |
| Last Modified: | 14 Aug 2017 03:53 |
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