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

• المؤلفون الرئيسيون: Gafai, Nuraddeen S., Mohamed Murid, Ali Hassan, Naqos, Samir, A. Wahid, Nur H. A.
• التنسيق: مقال
• اللغة: English
• منشور في: American Institute of Mathematical Sciences 2023
• الموضوعات: QA Mathematics
• الوصول للمادة أونلاين: http://eprints.utm.my/104964/1/AliHassanMohamed2023_ComputingtheZerosoftheSzeg%C3%B6Uernel.pdf; http://eprints.utm.my/104964/; http://dx.doi.org/10.3934/math.2023607
• المؤسسة: Universiti Teknologi Malaysia

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...