An integral equation for conformal mapping of multiply connected regions onto a circular region

• Main Authors: Husin, Ummu Tasnim, Mohamed Murid, Ali Hassan
• Format: Conference or Workshop Item
• Language: English
• Published: 2015
• Subjects: QA Mathematics
• Online Access: http://eprints.utm.my/id/eprint/61347/1/AliHassanMohamed2015_AnIntegralEquationforConformalMappingofMultiplyConnectedRegions.pdf; http://eprints.utm.my/id/eprint/61347/
• Institution: Universiti Teknologi Malaysia

Abstract. An integral equation is presented for the conformal mapping of multiply connected regions of connectivity m+1 onto a circular region. The circular region is bounded by a unit circle, with centre at the origin, and m number of circles inside the unit circle. The development of theoretical part is based on the boundary integral equation related to a non-homogeneous boundary relationship. An example for verification purpose is given in this paper for the conformal mapping from an annulus onto a doubly connected circular region with centres and radii are assumed to be known.