Analytical solution for finding the second zero of the Ahlfors map for an annulus region

• Main Authors: Wahid, Nur H. A. A., Murid, Ali H. M., Muminov, Mukhiddin I.
• Format: Article
• Published: Hindawi Limited 2019
• Subjects: QA75 Electronic computers. Computer science
• Online Access: http://eprints.utm.my/id/eprint/87600/; http://dx.doi.org/10.1155/2019/6961476
• Institution: Universiti Teknologi Malaysia

The Ahlfors map is a conformal mapping function that maps a multiply connected region onto a unit disk. It can be written in terms of the Szegö kernel and the Garabedian kernel. In general, a zero of the Ahlfors map can be freely prescribed in a multiply connected region. The remaining zeros are the...