We present a boundary integral equation method forthe numerical conformal mapping of bounded multiply connected regiononto a circular slit region. The method is based on some uniquelysolvable boundary integral equations with adjoint classical, adjointgeneralized, and modified Neumann kernels. These boundary integralequations are constructed from a boundary relationship satisfied bya function analytic on a multiply connected region. Some numericalexamples are presented to illustrate the efficiency of the presentedmethod.
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