The computation of zeros of Ahlfors map for doubly connected regions

• Main Authors: Nazar, Kashif, Kareem Sangawi, Ali Wahab, Mohamed Murid, Ali Hassan, Yeak, Su Hoe
• Format: Conference or Workshop Item
• Published: AMERICAN INSTITUTE OF PHYSICS PUBLISING LLC 2016
• Subjects: Q Science
• Online Access: http://eprints.utm.my/id/eprint/66952/; http://dx.doi.org/10.1063/1.4954520
• Institution: Universiti Teknologi Malaysia

The Ahlfors map and Szegö kernel are both classically related to each other. Ahlfors map can be computed using Szege kernel without relying on the zeros of Ahlfors map. The Szegö kernel is a solution of a Fredholm integral equation of the second kind with the Kerzman­Stein kernel. The exact zeros of...