Numerical conformal mapping for symmetric regions via the Bergman kernel

• Main Authors: Murid, Ali H.M., Razali, Mohd. R.M, Nashed, M.Z
• Format: Monograph
• Published: Jabatan Matematik, Universiti Teknologi Malaysia 1995
• Subjects: QA Mathematics
• Online Access: http://eprints.utm.my/id/eprint/3867/; http://ac.els-cdn.com/S0377042797000915/1-s2.0-S0377042797000915-main.pdf?_tid=4c15cf88-526a-11e7-abee-00000aacb362&acdnat=1497600395_7eab59892f99b3ff1ce3c74417272c51
• Institution: Universiti Teknologi Malaysia

The Bergman kernel functions is known to satisfy a certain boundary integral equation of the second kind. For boundaries that possess some symmetry, it is shown how to transform the integral equation into another integral equation that uses only a small part of the original boundary. This provides a...