Integral and differential equations for conformal mapping of bounded multiply connected regions onto a disk with circular slits


  • Ali H.M. Murid
  • Ali W. Kareem Sangawi
  • M.M.S. Nasser



Conformal mapping, Boundary integral equations, Multiply connected regions, Boundary relationship, Differential equations,


Conformal mapping is a useful tool in science and engineering. On the other hand exact mapping functions are unknown except for some special regions.
In this paper we present a new boundary integral equation with classical Neumann kernel associated to f f , where f is a conformal mapping of
bounded multiply connected regions onto a disk with circular slit domain. This boundary integral equation is constructed from a boundary relationship
satisfied by a function analytic on a multiply connected region. With f f known, one can then treat it as a differential equation for computing f .


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