Computing the zeros of the Szegö kernel for doubly connected regions using conformal mapping

• Main Authors: Gafai, Nuraddeen S., Mohamed Murid, Ali Hassan, Naqos, Samir, A. Wahid, Nur H. A.
• Format: Article
• Language: English
• Published: American Institute of Mathematical Sciences 2023
• Subjects: QA Mathematics
• Online Access: http://eprints.utm.my/104964/1/AliHassanMohamed2023_ComputingtheZerosoftheSzeg%C3%B6Uernel.pdf; http://eprints.utm.my/104964/; http://dx.doi.org/10.3934/math.2023607

An explicit formula for the zero of the Szegö kernel for an annulus region is well-known. There exists a transformation formula for the Szegö kernel from a doubly connected region onto an annulus. Based on conformal mapping, we derive an analytical formula for the zeros of the Szegö kernel for a gen...