Geodesic
Annulus with Circular Slit Map of Bounded Multiply Connected Regions via Integral Equation Method
Bulletin of the Malaysian Mathematical Society, Tome 35 (2012) no. 4 Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

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This paper presents a boundary integral equation method for the numerical conformal mapping of bounded multiply connected region onto an annulus with circular slits. The method is based on some uniquely solvable linear integral equations with classical, adjoint and generalized Neumann kernels. These boundary integral equations are constructed from a boundary relationship that relates the mapping function $f$ on a multiply connected region with $f'$, $\theta'$, and $\left| f\right|$, where $\theta$ is the boundary correspondence function. Some numerical examples are presented to illustrate the efficiency of the presented method.
Classification : 30C30, 65E05. 
@article{BMMS_2012_35_4_a10,
     author = {Ali W. K. Sangawi and Ali H. M. Murid and M. M. S. Nasser},
     title = {Annulus with {Circular} {Slit} {Map} of {Bounded} {Multiply} {Connected} {Regions} via {Integral} {Equation} {Method}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2012},
     volume = {35},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2012_35_4_a10/}
}
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%J Bulletin of the Malaysian Mathematical Society
%D 2012
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%F BMMS_2012_35_4_a10
Ali W. K. Sangawi; Ali H. M. Murid; M. M. S. Nasser. Annulus with Circular Slit Map of Bounded Multiply Connected Regions via Integral Equation Method. Bulletin of the Malaysian Mathematical Society, Tome 35 (2012) no. 4. http://geodesic.mathdoc.fr/item/BMMS_2012_35_4_a10/